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Panyushev, Dmitri Ivanovich

Total publications: 120 (120)
in MathSciNet: 109 (109)
in zbMATH: 112 (112)
in Web of Science: 99 (99)
in Scopus: 94 (94)
Cited articles: 89
Citations in Math-Net.Ru: 74
Citations in Web of Science: 855
Citations in Scopus: 798
Presentations: 13

Number of views:
This page:887
Abstract pages:5246
Full texts:1214
References:586
Head Scientist Researcher
Doctor of physico-mathematical sciences (1996)
Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
Keywords: Lie group, seaweed Lie algebra, algebraic combinatorics, representation and invariant theory.
UDC: 519.4, 512
MSC: 05E15, 06A07, 14L30, 17B08, 17B20, 22E46

Subject:

Lie group, Lie algebra, algebraic combinatorics, representation and invariant theory, Poisson geometry

   
Main publications:
  1. D. Panyushev, “Weight multiplicity free representations, $\mathfrak g$-endomorphism algebras, and Dynkin polynomials”, J. London Math. Soc., 69:2 (2004), 273–290  crossref  mathscinet  zmath
  2. D. Panyushev, “On invariant theory of $\theta$-groups”, J. Algebra, 283:2 (2005), 655–670  crossref  mathscinet  zmath
  3. D. Panyushev, “Semi-direct products of Lie algebras and their invariants”, Publ. R.I.M.S., 43:4 (2007), 1199–1257  crossref  mathscinet  zmath
  4. D. Panyushev, “On the coadjoint representation of $\mathbb Z_2$-contractions of reductive Lie algebras”, Advances in Math., 213 (2007), 380–404  crossref  mathscinet
  5. D. Panyushev, “On the orbits of a Borel subgroup in abelian ideals”, Transformation Groups, 22 (2017), 503–524

http://www.mathnet.ru/eng/person19591
List of publications on Google Scholar
https://zbmath.org/authors/?q=ai:panyushev.dmitri-i
https://mathscinet.ams.org/mathscinet/MRAuthorID/193629
https://elibrary.ru/author_items.asp?authorid=12804
https://www.scopus.com/authid/detail.url?authorId=7003834098

Full list of scientific publications:
| scientific publications | by years | by types | by times cited in WoS | by times cited in Scopus | common list |



   2020
1. D.I. Panyushev, O.S. Yakimova, “Poisson-commutative subalgebras and complete integrability on non-regular coadjoint orbits and flag varieties”, Math. Z., 295:1–2 (2020), 101–127  crossref  mathscinet  zmath  isi (cited: 2)  elib  scopus (cited: 1)
2. D.I. Panyushev, “Abelian ideals of a Borel subalgebra and root systems, II”, Algebras Representation Theory, 23:4 (2020), 1487–1498  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 1)
3. D.I. Panyushev, O.S. Yakimova, “Takiff algebras with polynomial rings of symmetric invariants”, Transformation Groups, 25:2 (2020), 609–624  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 1)
4. D.I. Panyushev, “Casimir elements associated with Levi subalgebras of simple Lie algebras and their applications”, Adv. Math., 374 (2020), 107390 , 31 pp., arXiv: math/1912.00341  crossref  mathscinet  zmath  isi  scopus
5. D.I. Panyushev, “Glorious pairs of roots and abelian ideals of a Borel subalgebra”, J. Algebraic Combin., 52:4 (2020), 505–525  crossref  isi  scopus

   2019
6. D.I. Panyushev, O.S. Yakimova, “Semi-direct products involving $Sp_{2n}$ or $Spin_n$ with free algebras of symmetric invariants”, Representations and Nilpotent Orbits of Lie Algebraic Systems, In Honour of the 75th Birthday of Tony Joseph, Progr. Math., 330, eds. M. Gorelik, V. Hinich, A. Melnikov, Birkhäuser, Cham, 2019, 441–470  crossref  mathscinet  zmath  scopus
7. D.I. Panyushev, O.S. Yakimova, “Nilpotent subspaces and nilpotent orbits”, J. Austral. Mah. Soc., 106:1 (2019), 104–126  crossref  mathscinet  zmath  isi  scopus

   2018
8. D.I. Panyushev, O.S. Yakimova, “On seaweed subalgebras and meander graphs in type D”, J. Pure Applied Alg., 222:11 (2018), 3414–3431  crossref  mathscinet  zmath  isi (cited: 5)  scopus (cited: 5)

   2017
9. D.I. Panyushev, O.S. Yakimova, “Symmetric invariants related to representations of exceptional simple groups”, Trans. Moscow Math. Soc., 78 (2017), 161–170  mathnet  crossref  mathscinet  zmath  elib  scopus (cited: 1)
10. D.I. Panyushev, “On the orbits of a Borel subgroup in abelian ideals”, Transformation Groups, 22:2 (2017), 503–524  crossref  mathscinet  zmath  isi (cited: 6)  scopus (cited: 5)
11. D.I. Panyushev, “Abelian ideals and amazing roots”, Intern. J. Math., 28:14 (2017), 1750105 , 9 pp.  crossref  mathscinet  zmath  isi  scopus
12. D.I. Panyushev, O.S. Yakimova, “Semi-direct products of Lie algebras and covariants”, J. Algebra, 490 (2017), 283–315  crossref  mathscinet  zmath  isi  scopus (cited: 1)

   2016
13. D.I. Panyushev, “Weight posets associated with gradings of simple Lie algebras, Weyl groups, and arrangements of hyperplanes”, J. Alg. Combin., 44:2 (2016), 325–344  crossref  mathscinet  zmath  isi  scopus
14. D.I. Panyushev, “On Lusztig's $q$-analogues of all weight multiplicities of a representation”, Arbeitstagung Bonn 2013, In Memory of Friedrich Hirzebruch, Progr. Math., 319, eds. W. Ballmann, C. Blohmann, G. Faltings, P. Teichner, D. Zagier, Birkhäuser, Cham, 2016, 289–305  crossref  mathscinet  zmath  scopus
15. D.I. Panyushev, O.S. Yakimova, “On seaweed subalgebras and meander graphs in type C”, Pacific J. Math., 285:2 (2016), 485–499  crossref  mathscinet  zmath  isi (cited: 7)  scopus (cited: 7)
16. D.I. Panyushev, “Normalisers of abelian ideals of Borel subalgebras and $\mathbb Z$-gradings of a simple Lie algebra”, J. Lie Theory, 26:3 (2016), 659–672  mathscinet  zmath  isi (cited: 2)  scopus (cited: 2)
17. D.I. Panyushev, “Minimal inversion complete sets and maximal abelian ideals”, J. Algebra, 445 (2016), 163–180  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 2)

   2015
18. D.I. Panyushev, “The Dynkin index and $\mathfrak{sl}_2$-subalgebras of simple Lie algebras”, J. Algebra, 430 (2015), 15–25  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 2)
19. D.I. Panyushev, “Antichains in weight posets associated with gradings of simple Lie algebras”, Math. Z., 281:3-4 (2015), 1191–1214  crossref  mathscinet  zmath  isi (cited: 3)  scopus (cited: 3)

   2014
20. D.I. Panyushev, “Abelian ideals of a Borel subalgebra and root systems”, J. Eur. Math. Soc., 16:12 (2014), 2693–2708  crossref  mathscinet  zmath  isi (cited: 7)  scopus (cited: 7)
21. D.I. Panyushev, “Wide subalgebras of semisimple Lie algebras”, Algebras Representation Theory, 17:3 (2014), 931–944  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 1)
22. D.I. Panyushev, O.S. Yakimova, “On maximal commutative subalgebras of Poisson algebras associated with involutions of semisimple Lie algebras”, Bull. Sci. Math., 138:6 (2014), 705–720  crossref  mathscinet  zmath  isi (cited: 3)  scopus (cited: 3)

   2013
23. D.I. Panyushev, “Commuting involutions of Lie algebras, commuting varieties, and simple Jordan algebras”, Algebra Number Theory, 7:6 (2013), 1505–1534  crossref  mathscinet  zmath  isi  scopus
24. D.I. Panyushev, O.S. Yakimova, “Parabolic contractions of semisimple Lie algebras and their invariants”, Selecta Math. (New Series), 19 (2013), 699–717  crossref  zmath  isi (cited: 8)  scopus (cited: 8)
25. D.I. Panyushev, “Commuting involutions and degenerations of isotropy representations”, Transformation Groups, 18:2 (2013), 507–537  crossref  mathscinet  zmath  isi (cited: 3)  scopus (cited: 3)

   2012
26. D.I. Panyushev, “Invariants of a maximal unipotent subgroup and equidimensionality”, Bull. Sci. Math., 136:2 (2012), 149–161  crossref  mathscinet  zmath  isi  scopus
27. D.I. Panyushev, “Two covering polynomials of a finite poset, with applications to root systems and ad-nilpotent ideals”, J. Combinatorics, 3:1 (2012), 63–89  mathscinet  zmath
28. D.I. Panyushev, “Invariant theory of little adjoint modules”, J. Lie Theory, 22:3 (2012), 803–816  mathscinet  zmath  isi (cited: 3)
29. D.I. Panyushev, “Quotients by actions of the derived group of a maximal unipotent subgroup”, Pacific J. Math., 256:2 (2012), 381–405  crossref  mathscinet  zmath  isi  scopus
30. D.I. Panyushev, O.S. Yakimova, “A remarkable contraction of semisimple Lie algebras”, Ann. Inst. Fourier (Grenoble), 62:6 (2012), 2053–2068  crossref  mathscinet  zmath  isi (cited: 8)  scopus (cited: 8)

   2011
31. D.I. Panyushev, “Abelian ideals of a Borel subalgebra and subsets of the Dynkin diagram”, J. Algebra, 344:1 (2011), 197–204  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 2)
32. D.I. Panyushev, “Fredmans reciprocity, invariants of abelian groups, and the permanent of the Cayley table”, J. Alg. Combin., 33:1 (2011), 111–125  crossref  mathscinet  zmath  isi  scopus (cited: 1)

   2010
33. D.I. Panyushev, “Actions of the derived group of a maximal unipotent subgroup on $G$-varieties”, Intern. Math. Res. Notices, 2010:4 (2010), 674–700  crossref  mathscinet  zmath  isi (cited: 5)  scopus (cited: 5)
34. D.I. Panyushev, “Generalised Kostka-Foulkes polynomials and cohomology of line bundles on homogeneous vector bundles”, Selecta Math. (New Series), 16:2 (2010), 315–342  crossref  mathscinet  zmath  isi (cited: 7)  scopus (cited: 6)
35. D.I. Panyushev, “On divisible weighted Dynkin diagrams and reachable elements”, Transformation Groups, 15:4 (2010), 983–999  crossref  mathscinet  zmath  isi  scopus
36. D.I. Panyushev, E.B. Vinberg, “The work of Vladimir Morozov on Lie algebras”, Transformation Groups, 15:4 (2010), 1001–1013  crossref  mathscinet  zmath  isi (cited: 4)  scopus (cited: 4)

   2009
37. Dmitri I. Panyushev, “Properties of weight posets for weight multiplicity free representations”, Mosc. Math. J., 9:4 (2009), 867–883  mathnet (cited: 1)  crossref  mathscinet  zmath  isi (cited: 2)
38. D.I. Panyushev, “On the Dynkin index of a principal $\mathfrak{sl}_2$-subalgebra”, Adv. Math., 221:4 (2009), 1115–1121  crossref  mathscinet  zmath  isi (cited: 7)  scopus (cited: 6)
39. D.I. Panyushev, “Periodic automorphisms of Takiff algebras, contractions, and $\theta$-groups”, Transformation Groups, 14:2 (2009), 463–482  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 2)
40. D.I. Panyushev, “On orbits of antichains of positive roots”, European J. Combin., 30:2 (2009), 586–594  crossref  mathscinet  zmath  isi (cited: 24)  scopus (cited: 28)

   2008
41. D. I. Panyushev, O. S. Yakimova, “The PRV-Formula for Tensor Product Decompositions and Its Applications”, Funct. Anal. Appl., 42:1 (2008), 45–52  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 3)  scopus (cited: 2)
42. D.I. Panyushev, O.S. Yakimova, “The argument shift method and maximal commutative subalgebras of Poisson algebras”, Math. Res. Letters, 15:2 (2008), 239–249  crossref  zmath  isi (cited: 26)  scopus (cited: 27)
43. D.I. Panyushev, “Two results on centralisers of nilpotent elements”, J. Pure Appl. Alg., 212:4 (2008), 774–779  crossref  mathscinet  zmath  isi (cited: 10)  scopus (cited: 9)
44. D.I. Panyushev, “Adjoint vector fields and differential operators on representation spaces”, Bull. London Math. Soc., 40:6 (2008), 1045–1064  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 1)

   2007
45. D.I. Panyushev, A.A. Premet, O.S. Yakimova, “On symmetric invariants of centralisers in reductive Lie algebras”, J. Algebra, 313:1 (2007), 343–391 (Special Issue in Honor of Ernest Vinberg)  crossref  mathscinet  zmath  isi (cited: 39)  scopus (cited: 41)
46. D.I. Panyushev, “Semi-direct products of Lie algebras and their invariants”, Publ. RIMS, 43:4 (2007), 1199–1257  crossref  mathscinet  zmath  isi (cited: 16)  scopus (cited: 17)
47. D.I. Panyushev, “On the coadjoint representation of ${\mathbb Z}_2$-contractions of reductive Lie algebras”, Adv. Math., 213:2 (2007), 380–404  crossref  mathscinet  zmath  isi (cited: 24)  scopus (cited: 26)
48. D.I. Panyushev, O.S. Yakimova, “Symmetric pairs and associated commuting varieties”, Math. Proc. Cambr. Phil. Soc., 143:2 (2007), 307–321  crossref  mathscinet  zmath  isi (cited: 13)  scopus (cited: 13)
49. D.I. Panyushev, “On maximal Poisson-commutative subalgebras in the symmetric algebra of a Lie algebra (joint work with O. Yakimova)” (Oberwolfach, April 22–28, 2007), Oberwolfach Reports, 4:2 (2007), 1201–1203  crossref  mathscinet

   2006
50. D.I. Panyushev, “Normalizers of ad-nilpotent ideals”, European J. Combin., 27:2 (2006), 153–178  crossref  mathscinet  zmath  isi (cited: 6)  scopus (cited: 6)
51. D.I. Panyushev, “Commutative subalgebras and sphericity in ${\mathbb Z}_2$-graded Lie algebras”, Bull. London Math. Soc., 38:5 (2006), 753–763  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 1)
52. D.I. Panyushev, O.S. Yakimova, “The index of representations associated with stabilisers”, J. Algebra, 302:1 (2006), 280–304  crossref  mathscinet  zmath  isi (cited: 4)  scopus (cited: 4)
53. D.I. Panyushev, “The poset of positive roots and its relatives”, J. Algebraic Combin., 23:1 (2006), 79–101  crossref  mathscinet  zmath  isi (cited: 10)

   2005
54. D.I. Panyushev, “Ideals of Heisenberg type and minimax elements of affine Weyl groups”, Lie Groups and Invariant Theory, Amer. Math. Soc. Transl., Series 2, 213, ed. E.B. Vinberg, AMS, Providence, RI, 2005, 191–213  crossref  mathscinet  zmath
55. D.I. Panyushev, G. Röhrle, “On spherical ideals of Borel subalgebras”, Archiv Math. (Basel), 84:3 (2005), 225–232  crossref  mathscinet  zmath  isi (cited: 4)  scopus (cited: 4)
56. D.I. Panyushev, “On invariant theory of $\theta$-groups”, J. Algebra, 283:2 (2005), 655–670  crossref  mathscinet  zmath  isi (cited: 25)  scopus (cited: 25)
57. D.I. Panyushev, “An extension of Raïs theorem and seaweed subalgebras of simple Lie algebras,”, Ann. Inst. Fourier (Grenoble), 55:3 (2005), 693–715  crossref  mathscinet  zmath  isi (cited: 15)  scopus (cited: 14)

   2004
58. D. I. Panyushev, “On the Irreducibility of Commuting Varieties Associated with Involutions of Simple Lie Algebras”, Funct. Anal. Appl., 38:1 (2004), 38–44  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 7)  scopus (cited: 4)
59. D.I. Panyushev, “Short antichains in root systems, semi-Catalan arrangements, and $B$-stable subspaces”, European J. Combin., 25:1 (2004), 93–112  crossref  mathscinet  zmath  isi (cited: 6)  scopus (cited: 5)
60. D.I. Panyushev, “Weight multiplicity free representations, $\mathfrak g$-endomorphism algebras, and Dynkin polynomials”, J. London. Math. Soc., 69:2 (2004), 273–290  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 3)
61. D.I. Panyushev, “ad-nilpotent ideals of a Borel subalgebra: generators and duality”, J. Algebra, 274:2 (2004), 822–846  crossref  mathscinet  zmath  isi (cited: 32)  scopus (cited: 30)
62. D.I. Panyushev, “Long Abelian ideals”, Adv. Math., 186:2 (2004), 307–316  crossref  mathscinet  zmath  isi (cited: 4)  scopus (cited: 5)
63. D.I. Panyushev, “Regions in the dominant chamber and nilpotent orbits”, Bull. Sci. Math., 128:1 (2004), 1–6  crossref  mathscinet  zmath  isi  scopus
64. D.I. Panyushev, “On reachable elements and the boundary of nilpotent orbits in simple Lie algebras”, Bull. Sci. Math., 128:10 (2004), 859–870  crossref  mathscinet  zmath  isi (cited: 4)  scopus (cited: 4)

   2003
65. D.I. Panyushev, “The index of a Lie algebra, the centraliser of a nilpotent element, and the normaliser of the centraliser”, Math. Proc. Cambr. Phil. Soc., 134:1 (2003), 41–59  crossref  mathscinet  zmath  isi (cited: 30)  scopus (cited: 30)
66. D.I. Panyushev, “Abelian ideals of a Borel subalgebra and long positive roots”, Intern. Math. Res. Notices, 2003:35 (2003), 1889–1913  crossref  mathscinet  zmath  isi (cited: 26)  scopus (cited: 23)
67. D.I. Panyushev, “Some amazing properties of spherical nilpotent orbits”, Math. Z., 245:3 (2003), 557–580  crossref  mathscinet  zmath  isi (cited: 23)  scopus (cited: 23)

   2002
68. D. N. Akhiezer, D. I. Panyushev, “Multiplicities in the branching rules and the complexity of homogeneous spaces”, Mosc. Math. J., 2:1 (2002), 17–33  mathnet (cited: 4)  crossref  mathscinet  zmath  isi (cited: 7)
69. D.I. Panyushev, “On covariants of reductive algebraic groups”, Indag. Math. (New Series), 13:2 (2002), 125–129  crossref  mathscinet  zmath  isi (cited: 9)  scopus (cited: 6)

   2001
70. D. I. Panyushev, “Inductive formulas for the index of seaweed Lie algebras”, Mosc. Math. J., 1:2 (2001), 221–241  mathnet (cited: 33)  crossref  mathscinet  zmath  isi (cited: 36)
71. D.I. Panyushev, “Nilpotent pairs, dual pairs, and sheets”, J. Algebra, 240:2 (2001), 635–664  crossref  mathscinet  zmath  isi (cited: 7)  scopus (cited: 6)
72. D.I. Panyushev, “The exterior algebra and `Spin of an orthogonal $\mathfrak g$-module”, Transformation Groups, 6:4 (2001), 371–396  crossref  mathscinet  zmath  isi (cited: 11)  scopus (cited: 9)
73. D.I. Panyushev, “Isotropy representations, eigenvalues of a Casimir element, and commutative Lie subalgebras”, J. London Math. Soc., 64:1 (2001), 61–80  crossref  mathscinet  zmath  isi (cited: 18)  scopus (cited: 19)
74. A.G. Elashvili, D.I. Panyushev, “A classification of the principal nilpotent pairs in simple Lie algebras and related problems”, J. London Math. Soc., 63:2 (2001), 299–318  crossref  mathscinet  zmath  isi (cited: 8)  scopus (cited: 8)
75. D.I. Panyushev, G. Röhrle, “Spherical orbits and abelian ideals”, Adv. Math., 159:2 (2001), 229–246  crossref  mathscinet  zmath  isi (cited: 33)  scopus (cited: 32)

   2000
76. D.I. Panyushev, “Nilpotent pairs in semisimple Lie algebras and their characteristics”, Intern. Math. Res. Notices, 2000:1 (2000), 1–21  crossref  mathscinet  zmath  isi (cited: 8)

   1999
77. D.I. Panyushev, “Parabolic subgroups with Abelian unipotent radical as a testing site for Invariant Theory”, Canad. J. Math., 51:3 (1999), 616–635  crossref  mathscinet  zmath  isi (cited: 10)  scopus (cited: 11)
78. D.I. Panyushev, “On spherical nilpotent orbits and beyond”, Ann. Inst. Fourier (Grenoble), 49:5 (1999), 1453–1476  crossref  mathscinet  zmath  isi (cited: 39)  scopus (cited: 40)
79. D.I. Panyushev, “Complexity and rank of actions in invariant theory”, J. Math. Sci (New York), 95:1 (1999), 1925–1985  crossref  mathscinet  zmath  scopus (cited: 17)
80. D.I. Panyushev, “Actions of `nilpotent tori on $G$-varieties”, Indag. Math. (New Series), 10:4 (1999), 565–579  crossref  mathscinet  zmath  isi  scopus (cited: 1)
81. D.I. Panyushev, “On the conormal bundle of a $G$-stable subvariety”, Manuscripta Math., 99:2 (1999), 185–202  crossref  mathscinet  zmath  isi (cited: 13)  scopus (cited: 15)
82. D.I. Panyushev, “On actions of a maximal torus on orbits of highest weight vectors”, J. Algebra, 212:2 (1999), 683–702  crossref  mathscinet  zmath  isi (cited: 4)  scopus (cited: 5)
83. D.I. Panyushev, E.B. Vinberg, “An infinitesimal characterization of the complexity of homogeneous spaces”, Transformation Groups, 4:1 (1999), 97–101  crossref  mathscinet  zmath  isi  scopus (cited: 1)

   1997
84. D.I. Panyushev, “On deformation method in Invariant Theory”, Ann. Inst. Fourier (Grenoble), 47:4 (1997), 985–1012  crossref  mathscinet  zmath  isi (cited: 9)  scopus (cited: 9)
85. D.I. Panyushev, “Cones of highest weight vectors, weight polytopes, and Lusztig's $q$-analog”, Transformation Groups, 2:1 (1997), 91–115  crossref  mathscinet  zmath

   1996
86. D. I. Panyushev, “On dual cones and expansions of tensor products”, Russian Math. Surveys, 51:2 (1996), 343–344  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus

   1995
87. D.I. Panyushev, “Reductive group actions on affine varieties and their doubling”, Ann. Inst. Fourier (Grenoble), 45:4 (1995), 929–950  crossref  mathscinet  zmath  isi (cited: 5)
88. D.I. Panyushev, “On homogeneous spaces of rank one”, Indag. Math. (New Ser.), 6:3 (1995), 315–323  crossref  mathscinet  zmath  isi (cited: 3)  scopus (cited: 5)
89. D.I. Panyushev, “Good properties of algebras of invariants and defect of linear representations”, J. Lie Theory, 5:1 (1995), 81–99  mathscinet  zmath
90. D.I. Panyushev, “A restriction theorem and the Poincar\e series for $U$-invariants”, Math. Ann., 301:4 (1995), 655–675  crossref  mathscinet  zmath  isi (cited: 12)  scopus (cited: 13)

   1994
91. D. I. Panyushev, “Multiplicities of Weights of Some Representations and Convex Polytopes”, Funct. Anal. Appl., 28:4 (1994), 293–295  mathnet  crossref  mathscinet  zmath  isi (cited: 4)  scopus (cited: 4)
92. D.I. Panyushev, “The Jacobian modules of a Lie algebra and geometry of commuting varieties”, Compositio Math., 94:2 (1994), 181–199  mathscinet  zmath  isi (cited: 30)
93. D.I. Panyushev, “Complexity and nilpotent orbits”, Manuscripta Math., 83:3-4 (1994), 223–237  crossref  mathscinet  zmath  isi (cited: 51)  scopus (cited: 54)
94. D. Gurevich, D.I. Panyushev, “On Poisson pairs associated to modified $R$-matrices”, Duke Math. J., 73:2 (1994), 249–255  crossref  mathscinet  zmath  isi (cited: 11)  scopus (cited: 10)

   1993
95. D. I. Panyushev, “On Semisimple Groups Admitting a Finite Coregular Extension”, Funct. Anal. Appl., 27:3 (1993), 216–217  mathnet  crossref  mathscinet  zmath  isi (cited: 4)  scopus (cited: 3)
96. D.I. Panyushev, “Complexity and rank of double cones and tensor product decompositions”, Comment. Math. Helv., 68:3 (1993), 455–468  crossref  mathscinet  zmath  isi (cited: 11)  scopus (cited: 9)

   1992
97. D.I. Panyushev, “Affine quasihomogeneous normal ${SL}_{2}$-varieties: Hilbert function and blow-ups”, Lie groups, their Discrete Subgroups and Invariant Theory, Adv. Sov. Math., 8, ed. E.B. Vinberg, AMS, Providence, RI, 1992, 131–149  crossref  mathscinet  zmath
98. D.I. Panyushev, “Complexity of quasiaffine homogeneous varieties, $t$-decompositions and affine homogeneous spaces of complexity 1”, Lie groups, their Discrete Subgroups and Invariant Theory, Adv. Sov. Math., 8, ed. E.B. Vinberg, AMS, Providence, RI, 1992, 151–166  crossref  mathscinet  zmath
99. D.I. Panyushev, “Razreshenie osobennostei affinnykh normalnykh kvaziodnorodnykh $SL_{2}$-mnogoobrazii”, Arifmetika i geometriya mnogoobrazii, Mezhvuzovskii sbornik nauchnykh statei, eds. Z.I. Borevich, V.E. Voskresenskii, Samarskii Gosuniversitet, Samara, 1992, 115–132  zmath

   1991
100. D. I. Panyushev, “Rationality of singularities and the Gorenstein property for nilpotent orbits”, Funct. Anal. Appl., 25:3 (1991), 225–226  mathnet  crossref  mathscinet  zmath  isi (cited: 21)  scopus (cited: 27)

   1992
101. D. I. Panyushev, “The canonical module of a quasihomogeneous normal affine $SL_2$-variety”, Math. USSR-Sb., 73:2 (1992), 569–578  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  scopus (cited: 1)

   1990
102. D.I. Panyushev, “Complexity and rank of homogeneous spaces”, Geom. Dedicata, 34:3 (1990), 249–269  crossref  mathscinet  zmath  isi (cited: 32)  scopus (cited: 32)
103. D. I. Panyushev, “Complexity and rank of homogeneous spaces and the co-isotropy representation”, Dokl. Math., 40:1 (1990), 63–66  mathnet  mathscinet  zmath

   1989
104. D.I. Panyushev, “O deistviyakh additivnoi gruppy na $\mathbb{ A}^{n}$”, Arifmetika i geometriya mnogoobrazii, Mezhvuzovskii sbornik nauchnykh statei, eds. Z.I. Borevich, V.E. Voskresenskii, Kuibyshevskii Gosuniversitet, Kuibyshev, 1989, 105–114
105. D.I. Panyushev, “Kanonicheskii modul affinnogo normalnogo kvaziodnorodnogo $SL_{2}$-mnogoobraziya”, Mezhdunarodnaya konferentsiya po algebre pamyati A.I. Maltseva, Tezisy soobschenii (algebraicheskaya geometriya) (Novosibirsk, 21–26 avgusta 1989 g.), 1989, 46–46

   1988
106. D. I. Panyushev, “Resolution of singularities of affine normal quasihomogeneous $SL_2$-varieties”, Funct. Anal. Appl., 22:4 (1988), 338–339  mathnet  crossref  mathscinet  zmath  isi (cited: 3)  scopus (cited: 2)

   1990
107. D. I. Panyushev, “The structure of the canonical module and the Gorenstein property for some quasihomogeneous varieties”, Math. USSR-Sb., 65:1 (1990), 81–95  mathnet  crossref  mathscinet  zmath  isi  scopus (cited: 3)

   1988
108. D.I. Panyushev, “Deistvie gruppy $SL_{2}$ bez trekhmernykh orbit na faktorialnykh mnogoobraziyakh”, Voprosy teorii grupp i gomologicheskoi algebry, vyp. 2, eds. A.L. Onischik, YarGU, Yaroslavl, 1988, 4–9  mathscinet
109. D. I. Panyushev, “Orbits of maximal dimension of solvable subgroups of reductive linear groups, and reduction for $U$-invariants”, Math. USSR-Sb., 60:2 (1988), 365–375  mathnet  crossref  mathscinet  zmath  isi  scopus (cited: 4)

   1987
110. D.I. Panyushev, “Gorenshteinovy mnogoobraziya primitivnykh vektorov”, Tezisy soobschenii 19-oi Vsesoyuznoi algebraicheskoi konferentsii, ch. 2 (Lvov, 9–11 sentyabrya 1987 g.), 336 s., LGU, Lvov, 1987, 218

   1985
111. D. I. Panyushev, “A problem on the Steinberg conjecture”, Funct. Anal. Appl., 19:2 (1985), 152–153  mathnet  crossref  mathscinet  zmath  isi  scopus

   1986
112. D. I. Panyushev, “Regular elements in spaces of linear representations. II”, Math. USSR-Izv., 27:2 (1986), 279–284  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 3)
113. D. I. Panyushev, “Correction to my paper “Semisimple automorphism groups of four-dimensional affine space””, Math. USSR-Izv., 27:3 (1986), 607–608  mathnet  crossref  mathscinet  zmath

   1985
114. D. I. Panyushev, “Regular elements in spaces of linear representations of reductive algebraic groups”, Math. USSR-Izv., 24:2 (1985), 383–390  mathnet  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 5)

   1984
115. D.I. Panyushev, D.K. Tkhabisimov, D.A. Usikov, N.G. Chebotarev, “Matematicheskie osnovy postroeniya sistem invariantnykh priznakov v zadache raspoznavaniya obrazov”, Matematicheskie metody issledovaniya prirodnykh resursov Zemli iz kosmosa, 176 s., eds. V.G. Zolotukhin, Nauka, M., 1984, 11–22  mathscinet
116. D. I. Panyushev, “Semisimple automorphism groups of four-dimensional affine space”, Math. USSR-Izv., 23:1 (1984), 171–183  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 4)

   1983
117. D.I. Panyushev, “Isomorphisms between orbit spaces”, Mosc. Univ. Math. Bull., 38:5 (1983), 26–30  mathnet  mathscinet  mathscinet  zmath  isi
118. D.I. Panyushev, “Differentsialnyi kriterii regulyarnosti dlya nekotorykh lineinykh predstavlenii”, Tezisy soobschenii 17-oi Vsesoyuznoi algebraicheskoi konferentsii, ch. 1, 230 s. (Minsk, 14–17 sentyabrya 1983), Minsk, 1983, 144–145
119. D. I. Panyushev, “On orbit spaces of finite and connected linear groups”, Math. USSR-Izv., 20:1 (1983), 97–101  mathnet  crossref  mathscinet  zmath  isi  scopus (cited: 8)

   1982
120. D.I. Panyushev, “Klassifikatsiya chetyrekhmernykh antikommutativnykh algebr s netrivialnoi gruppoi avtomorfizmov”, Voprosy teorii grupp i gomologicheskoi algebry, vyp. 2, eds. A.L. Onischik, YarGU, Yaroslavl, 1982, 98–106  mathscinet  zmath

Presentations in Math-Net.Ru
1. Элементы Казимира для подалгебр Леви и вокруг
D. I. Panyushev
VIII Workshop and Conference on Lie Algebras, Algebraic Groups, and Invariant Theory
January 27, 2020 12:15
2. Takiff algebras with polynomial rings of symmetric invariants
D. Panyushev
Transformation groups 2017. Conference dedicated to Prof. Ernest B. Vinberg on the occasion of his 80th birthday
December 18, 2017 15:30   
3. Nilpotent subspaces and nilpotent orbits (joint work with O. Yakimova)
D. I. Panyushev
Lie groups and invariant theory
March 30, 2016 16:45
4. Parabolic contractions of semisimple Lie algebras and their invariants (joint work with O. S. Yakimova)
D. I. Panyushev
Lie groups and invariant theory
February 12, 2014 16:45
5. Wide subalgebras of semisimple Lie algebras
D. I. Panyushev
Lie groups and invariant theory
January 23, 2013
6. Commuting involutions of Lie algebras, commutator varieties, and simple Jordan algebras
D. I. Panyushev
Lie groups and invariant theory
October 3, 2012 16:45
7. Two problems with the same answer: algebra and combinatorics
D. I. Panyushev
Lie groups and invariant theory
April 18, 2012 16:45
8. Двойственность Фредмана, инварианты конечных групп и перманент таблицы Кэли
D. I. Panyushev
Lie groups and invariant theory
December 9, 2009
9. О замечательных свойствах частично-упорядоченных множеств, связанных с системами корней
D. Panyushev
Lie groups and invariant theory
September 24, 2008
10. The argument shift method and maximal commutative subalgebras of Poisson algebras (a joint work with O. Yakimova)
D. I. Panyushev
Lie groups and invariant theory
March 7, 2007
11. Об инвариантах полупрямых произведений
D. I. Panyushev
Lie groups and invariant theory
September 7, 2005 16:20
12. О достижимых элементах в полупростых алгебрах Ли
D. I. Panyushev
Lie groups and invariant theory
September 15, 2004 16:20
13. $\mathrm{ad}$-nilpotent ideals in Borel subalgebras
D. I. Panyushev
Lie groups and invariant theory
March 24, 2004 16:20

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