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, “Projections of nilpotent orbits in a simple Lie algebra and shared orbits”, Algebras and Representation Theory, 28 (2025), 423–444, arXiv: 2410.09876
3.
D. I. Panyushev, “Nilpotent orbits and their secant varieties”, J. Algebra, 682 (2025), 689–722, arXiv: 2412.20809
4.
D. I. Panyushev, O. S. Yakimova, “Invariants of twisted current algebras and related Poisson-commutative subalgebras”, Intern. Math. Res. Notices, 2025:21 (2025), 1–11, arXiv: 2507.07958
D. I. Panyushev, “The Frobenius semiradical, generic stabilisers, and Poisson centre for nilradicals”, Canadian Journal of Mathematics, 76:6 (2024), 2019–2048, arXiv: 2310.18945
2023
6.
D. I. Panyushev, “Commutative polarisations and the Kostant cascade”, Algebras and Representation Theory, 26:3 (2023), 967–985, arXiv: 2108.07750
D. I. Panyushev, O. S. Yakimova, “Automorphisms of finite order, periodic contractions, and Poisson-commutative subalgebras of $S(\mathfrak g)$”, Mathematische Zeitschrift, 303:2 (2023), 51, 30 pp., arXiv: 2211.10664
D. I. Panyushev, “Combinatorial and geometric constructions associated with the Kostant cascade”, Journal of Lie Theory, 33:2 (2023), 497–526, arXiv: 2205.09994
9.
D. I. Panyushev, “Projections of the minimal nilpotent orbit in a simple Lie algebra and secant varieties”, Math. Proc. Camb. Phil. Soc., 175:3 (2023), 595–624, arXiv: 2105.02709
D. I. Panyushev, O. S. Yakimova, “Reductive subalgebras of semisimple Lie algebras and Poisson commutativity”, J. Symplectic Geometry, 20:4 (2022), 911–926, arXiv: 2012.04014
D. I. Panyushev, O. S. Yakimova, “Compatible Poisson brackets associated with 2-splittings and Poisson commutative subalgebras of $S(\mathfrak g)$”, J. London Math. Soc., 103:4 (2021), 1577–1595
D. I. Panyushev, O. S. Yakimova, “Periodic automorphisms, compatible Poisson brackets, and Gaudin subalgebras”, Transformation Groups, 26:2 (2021), 641–670
D. I. Panyushev, “Nilpotent orbits and mixed gradings of semisimple Lie algebras”, Indag. Math., 32:5 (2021), 1095–1114
14.
D. I. Panyushev, O. S. Yakimova, “Poisson-commutative subalgebras of $S(\mathfrak g)$ associated with involutions,”, Intern. Math. Res. Notices, 2021:23 (2021), 18367–18406
D. V. Alekseevskii, M. V. Belolipetsky, S. G. Gindikin, V. G. Kac, D. I. Panyushev, D. A. Timashev, O. V. Shvartsman, A. G. Elashvili, O. S. Yakimova, “Èrnest Borisovich Vinberg (obituary)”, Russian Math. Surveys, 76:6 (2021), 1123–1135
2020
16.
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
D.I. Panyushev, “Casimir elements associated with Levi subalgebras of simple Lie algebras and their applications”, Adv. Math., 374 (2020), 107390, 31 pp., arXiv: 1912.00341
20.
D.I. Panyushev, “Glorious pairs of roots and abelian ideals of a Borel subalgebra”, J. Algebraic Combin., 52:4 (2020), 505–525
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
D.I. Panyushev, O.S. Yakimova, “Symmetric invariants related to representations of exceptional simple groups”, Trans. Moscow Math. Soc., 78 (2017), 161–170
25.
D.I. Panyushev, “On the orbits of a Borel subgroup in abelian ideals”, Transformation Groups, 22:2 (2017), 503–524
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
29.
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
30.
D.I. Panyushev, O.S. Yakimova, “On seaweed subalgebras and meander graphs in type C”, Pacific J. Math., 285:2 (2016), 485–499
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
32.
D.I. Panyushev, “Minimal inversion complete sets and maximal abelian ideals”, J. Algebra, 445 (2016), 163–180
D.I. Panyushev, O.S. Yakimova, “Parabolic contractions of semisimple Lie algebras and their invariants”, Selecta Math. (New Series), 19 (2013), 699–717
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
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
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)
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
65.
D.I. Panyushev, “Normalizers of ad-nilpotent ideals”, European J. Combin., 27:2 (2006), 153–178
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
D. I. Panyushev, “On the Irreducibility of Commuting Varieties Associated with Involutions of Simple Lie Algebras”, Funct. Anal. Appl., 38:1 (2004), 38–44
74.
D.I. Panyushev, “Short antichains in root systems, semi-Catalan arrangements, and $B$-stable subspaces”, European J. Combin., 25:1 (2004), 93–112
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
D.I. Panyushev, “Isotropy representations, eigenvalues of a Casimir element, and commutative Lie subalgebras”, J. London Math. Soc., 64:1 (2001), 61–80
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
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
121.
D. I. Panyushev, “Resolution of singularities of affine normal quasihomogeneous $SL_2$-varieties”, Funct. Anal. Appl., 22:4 (1988), 338–339
1990
122.
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
1988
123.
D.I. Panyushev, “Deistvie gruppy $SL_{2}$ bez trekhmernykh orbit na faktorialnykh mnogoobraziyakh”, Voprosy teorii grupp i gomologicheskoi algebry, vyp. 8, eds. A.L. Onischik, YarGU, Yaroslavl, 1988, 4–9
124.
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
2025
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