D. Panyushev, “Weight multiplicity free representations, $\mathfrak g$-endomorphism
algebras, and Dynkin polynomials”, J. London Math. Soc., 69:2 (2004), 273–290
D. Panyushev, “On invariant theory of $\theta$-groups”, J. Algebra, 283:2 (2005), 655–670
D. Panyushev, “Semi-direct products of Lie algebras and their invariants”, Publ. R.I.M.S., 43:4 (2007), 1199–1257
D. Panyushev, “On the coadjoint representation of $\mathbb Z_2$-contractions of reductive Lie algebras”, Advances in Math., 213 (2007), 380–404
D. Panyushev, “On the orbits of a Borel subgroup in abelian ideals”, Transformation Groups, 22 (2017), 503–524
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 (cited: 2) (cited: 1)
2.
D.I. Panyushev, “Abelian ideals of a Borel subalgebra and root systems, II”, Algebras Representation Theory, 23:4 (2020), 1487–1498 (cited: 1) (cited: 1)
3.
D.I. Panyushev, O.S. Yakimova, “Takiff algebras with polynomial rings of symmetric invariants”, Transformation Groups, 25:2 (2020), 609–624 (cited: 1) (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
5.
D.I. Panyushev, “Glorious pairs of roots and abelian ideals of a Borel subalgebra”, J. Algebraic Combin., 52:4 (2020), 505–525
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
7.
D.I. Panyushev, O.S. Yakimova, “Nilpotent subspaces and nilpotent orbits”, J. Austral. Mah. Soc., 106:1 (2019), 104–126
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 (cited: 5) (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 (cited: 1)
10.
D.I. Panyushev, “On the orbits of a Borel subgroup in abelian ideals”, Transformation Groups, 22:2 (2017), 503–524 (cited: 6) (cited: 5)
11.
D.I. Panyushev, “Abelian ideals and amazing roots”, Intern. J. Math., 28:14 (2017), 1750105 , 9 pp.
12.
D.I. Panyushev, O.S. Yakimova, “Semi-direct products of Lie algebras and covariants”, J. Algebra, 490 (2017), 283–315 (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
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
15.
D.I. Panyushev, O.S. Yakimova, “On seaweed subalgebras and meander graphs in type C”, Pacific J. Math., 285:2 (2016), 485–499 (cited: 7) (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 (cited: 2) (cited: 2)
17.
D.I. Panyushev, “Minimal inversion complete sets and maximal abelian ideals”, J. Algebra, 445 (2016), 163–180 (cited: 2) (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 (cited: 2) (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 (cited: 3) (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 (cited: 7) (cited: 7)
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 (cited: 3) (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
24.
D.I. Panyushev, O.S. Yakimova, “Parabolic contractions of semisimple Lie algebras and their invariants”, Selecta Math. (New Series), 19 (2013), 699–717 (cited: 8) (cited: 8)
25.
D.I. Panyushev, “Commuting involutions and degenerations of isotropy representations”, Transformation Groups, 18:2 (2013), 507–537 (cited: 3) (cited: 3)
2012
26.
D.I. Panyushev, “Invariants of a maximal unipotent subgroup and equidimensionality”, Bull. Sci. Math., 136:2 (2012), 149–161
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
28.
D.I. Panyushev, “Invariant theory of little adjoint modules”, J. Lie Theory, 22:3 (2012), 803–816 (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
30.
D.I. Panyushev, O.S. Yakimova, “A remarkable contraction of semisimple Lie algebras”, Ann. Inst. Fourier (Grenoble), 62:6 (2012), 2053–2068 (cited: 8) (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 (cited: 1) (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 (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 (cited: 5) (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 (cited: 7) (cited: 6)
D.I. Panyushev, E.B. Vinberg, “The work of Vladimir Morozov on Lie algebras”, Transformation Groups, 15:4 (2010), 1001–1013 (cited: 4) (cited: 4)
2009
37.
Dmitri I. Panyushev, “Properties of weight posets for weight multiplicity free representations”, Mosc. Math. J., 9:4 (2009), 867–883 (cited: 1) (cited: 2)
38.
D.I. Panyushev, “On the Dynkin index of a principal $\mathfrak{sl}_2$-subalgebra”, Adv. Math., 221:4 (2009), 1115–1121 (cited: 7) (cited: 6)
39.
D.I. Panyushev, “Periodic automorphisms of Takiff algebras, contractions, and $\theta$-groups”, Transformation Groups, 14:2 (2009), 463–482 (cited: 2) (cited: 2)
40.
D.I. Panyushev, “On orbits of antichains of positive roots”, European J. Combin., 30:2 (2009), 586–594 (cited: 24) (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 (cited: 3) (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 (cited: 26) (cited: 27)
43.
D.I. Panyushev, “Two results on centralisers of nilpotent elements”, J. Pure Appl. Alg., 212:4 (2008), 774–779 (cited: 10) (cited: 9)
44.
D.I. Panyushev, “Adjoint vector fields and differential operators on representation spaces”, Bull. London Math. Soc., 40:6 (2008), 1045–1064 (cited: 1) (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) (cited: 39) (cited: 41)
46.
D.I. Panyushev, “Semi-direct products of Lie algebras and their invariants”, Publ. RIMS, 43:4 (2007), 1199–1257 (cited: 16) (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 (cited: 24) (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 (cited: 13) (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
2006
50.
D.I. Panyushev, “Normalizers of ad-nilpotent ideals”, European J. Combin., 27:2 (2006), 153–178 (cited: 6) (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 (cited: 1) (cited: 1)
52.
D.I. Panyushev, O.S. Yakimova, “The index of representations associated with stabilisers”, J. Algebra, 302:1 (2006), 280–304 (cited: 4) (cited: 4)
53.
D.I. Panyushev, “The poset of positive roots and its relatives”, J. Algebraic Combin., 23:1 (2006), 79–101 (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
55.
D.I. Panyushev, G. Röhrle, “On spherical ideals of Borel subalgebras”, Archiv Math. (Basel), 84:3 (2005), 225–232 (cited: 4) (cited: 4)
56.
D.I. Panyushev, “On invariant theory of $\theta$-groups”, J. Algebra, 283:2 (2005), 655–670 (cited: 25) (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 (cited: 15) (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 (cited: 7) (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 (cited: 6) (cited: 5)
D.I. Panyushev, “Regions in the dominant chamber and nilpotent orbits”, Bull. Sci. Math., 128:1 (2004), 1–6
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 (cited: 4) (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 (cited: 30) (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 (cited: 26) (cited: 23)
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 (cited: 4) (cited: 7)
69.
D.I. Panyushev, “On covariants of reductive algebraic groups”, Indag. Math. (New Series), 13:2 (2002), 125–129 (cited: 9) (cited: 6)
2001
70.
D. I. Panyushev, “Inductive formulas for the index of seaweed Lie algebras”, Mosc. Math. J., 1:2 (2001), 221–241 (cited: 33) (cited: 36)
71.
D.I. Panyushev, “Nilpotent pairs, dual pairs, and sheets”, J. Algebra, 240:2 (2001), 635–664 (cited: 7) (cited: 6)
72.
D.I. Panyushev, “The exterior algebra and `Spin of an orthogonal $\mathfrak g$-module”, Transformation Groups, 6:4 (2001), 371–396 (cited: 11) (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 (cited: 18) (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 (cited: 8) (cited: 8)
75.
D.I. Panyushev, G. Röhrle, “Spherical orbits and abelian ideals”, Adv. Math., 159:2 (2001), 229–246 (cited: 33) (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 (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 (cited: 10) (cited: 11)
78.
D.I. Panyushev, “On spherical nilpotent orbits and beyond”, Ann. Inst. Fourier (Grenoble), 49:5 (1999), 1453–1476 (cited: 39) (cited: 40)
79.
D.I. Panyushev, “Complexity and rank of actions in invariant theory”, J. Math. Sci (New York), 95:1 (1999), 1925–1985 (cited: 17)
80.
D.I. Panyushev, “Actions of `nilpotent tori on $G$-varieties”, Indag. Math. (New Series), 10:4 (1999), 565–579 (cited: 1)
81.
D.I. Panyushev, “On the conormal bundle of a $G$-stable subvariety”, Manuscripta Math., 99:2 (1999), 185–202 (cited: 13) (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 (cited: 4) (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 (cited: 1)
1997
84.
D.I. Panyushev, “On deformation method in Invariant Theory”, Ann. Inst. Fourier (Grenoble), 47:4 (1997), 985–1012 (cited: 9) (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
1996
86.
D. I. Panyushev, “On dual cones and expansions of tensor products”, Russian Math. Surveys, 51:2 (1996), 343–344
1995
87.
D.I. Panyushev, “Reductive group actions on affine varieties and their doubling”, Ann. Inst. Fourier (Grenoble), 45:4 (1995), 929–950 (cited: 5)
88.
D.I. Panyushev, “On homogeneous spaces of rank one”, Indag. Math. (New Ser.), 6:3 (1995), 315–323 (cited: 3) (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
90.
D.I. Panyushev, “A restriction theorem and the Poincar\e series for $U$-invariants”, Math. Ann., 301:4 (1995), 655–675 (cited: 12) (cited: 13)
1994
91.
D. I. Panyushev, “Multiplicities of Weights of Some Representations and Convex Polytopes”, Funct. Anal. Appl., 28:4 (1994), 293–295 (cited: 4) (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 (cited: 30)
D. I. Panyushev, “Rationality of singularities and the Gorenstein property for nilpotent orbits”, Funct. Anal. Appl., 25:3 (1991), 225–226 (cited: 21) (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 (cited: 3) (cited: 1)
1990
102.
D.I. Panyushev, “Complexity and rank of homogeneous spaces”, Geom. Dedicata, 34:3 (1990), 249–269 (cited: 32) (cited: 32)
103.
D. I. Panyushev, “Complexity and rank of homogeneous spaces and the co-isotropy representation”, Dokl. Math., 40:1 (1990), 63–66
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 (cited: 3) (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 (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
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 (cited: 4)
D. I. Panyushev, “A problem on the Steinberg conjecture”, Funct. Anal. Appl., 19:2 (1985), 152–153
1986
112.
D. I. Panyushev, “Regular elements in spaces of linear representations. II”, Math. USSR-Izv., 27:2 (1986), 279–284 (cited: 1) (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
1985
114.
D. I. Panyushev, “Regular elements in spaces of linear representations of reductive algebraic groups”, Math. USSR-Izv., 24:2 (1985), 383–390 (cited: 2) (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
116.
D. I. Panyushev, “Semisimple automorphism groups of four-dimensional affine space”, Math. USSR-Izv., 23:1 (1984), 171–183 (cited: 1) (cited: 4)
2020
Terms of Use