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, “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
3.
D. I. Panyushev, “Combinatorial and geometric constructions associated with the Kostant cascade”, Journal of Lie Theory, 33:2 (2023), 497–526 , arXiv: 2205.09994
4.
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
2022
5.
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
9.
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
11.
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
15.
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
17.
D.I. Panyushev, O.S. Yakimova, “Nilpotent subspaces and nilpotent orbits”, J. Austral. Mah. Soc., 106:1 (2019), 104–126
2018
18.
D.I. Panyushev, O.S. Yakimova, “On seaweed subalgebras and meander graphs in type D”, J. Pure Applied Alg., 222:11 (2018), 3414–3431
D.I. Panyushev, O.S. Yakimova, “Symmetric invariants related to representations of exceptional simple groups”, Trans. Moscow Math. Soc., 78 (2017), 161–170
20.
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
24.
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
25.
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
27.
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, “Actions of the derived group of a maximal unipotent subgroup on $G$-varieties”, Intern. Math. Res. Notices, 2010:4 (2010), 674–700
44.
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
60.
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
69.
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
116.
D. I. Panyushev, “Resolution of singularities of affine normal quasihomogeneous $SL_2$-varieties”, Funct. Anal. Appl., 22:4 (1988), 338–339
1990
117.
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
118.
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
119.
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
2023
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