Lie group, Lie algebra, algebraic
combinatorics, representation and
invariant theory.
Main publications:
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, “Symmetric invariants related to representations of exceptional simple
groups”, Tr. Mosk. Mat. Obs., 78:2 (2017), 195–207; Trans. Moscow Math. Soc., 78 (2017), 161–170
2009
2.
Dmitri I. Panyushev, “Properties of weight posets for weight multiplicity free representations”, Mosc. Math. J., 9:4 (2009), 867–883
2008
3.
D. I. Panyushev, O. S. Yakimova, “The PRV-Formula for Tensor Product Decompositions and Its Applications”, Funktsional. Anal. i Prilozhen., 42:1 (2008), 53–62; Funct. Anal. Appl., 42:1 (2008), 45–52
2004
4.
D. I. Panyushev, “On the Irreducibility of Commuting Varieties Associated with Involutions of Simple Lie Algebras”, Funktsional. Anal. i Prilozhen., 38:1 (2004), 47–55; Funct. Anal. Appl., 38:1 (2004), 38–44
2002
5.
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
2001
6.
D. I. Panyushev, “Inductive formulas for the index of seaweed Lie algebras”, Mosc. Math. J., 1:2 (2001), 221–241
1996
7.
D. I. Panyushev, “On dual cones and expansions of tensor products”, Uspekhi Mat. Nauk, 51:2(308) (1996), 171–172; Russian Math. Surveys, 51:2 (1996), 343–344
1994
8.
D. I. Panyushev, “Multiplicities of Weights of Some Representations and Convex Polytopes”, Funktsional. Anal. i Prilozhen., 28:4 (1994), 88–90; Funct. Anal. Appl., 28:4 (1994), 293–295
1993
9.
D. I. Panyushev, “On Semisimple Groups Admitting a Finite Coregular Extension”, Funktsional. Anal. i Prilozhen., 27:3 (1993), 82–84; Funct. Anal. Appl., 27:3 (1993), 216–217
1991
10.
D. I. Panyushev, “Rationality of singularities and the Gorenstein property for nilpotent orbits”, Funktsional. Anal. i Prilozhen., 25:3 (1991), 76–78; Funct. Anal. Appl., 25:3 (1991), 225–226
11.
D. I. Panyushev, “The canonical module of a quasihomogeneous normal affine $SL_2$-variety”, Mat. Sb., 182:8 (1991), 1211–1221; Math. USSR-Sb., 73:2 (1992), 569–578
1988
12.
D. I. Panyushev, “Resolution of singularities of affine normal quasihomogeneous $SL_2$-varieties”, Funktsional. Anal. i Prilozhen., 22:4 (1988), 94–95; Funct. Anal. Appl., 22:4 (1988), 338–339
13.
D. I. Panyushev, “The structure of the canonical module and the Gorenstein property for some quasihomogeneous varieties”, Mat. Sb. (N.S.), 137(179):1(9) (1988), 76–89; Math. USSR-Sb., 65:1 (1990), 81–95
1987
14.
D. I. Panyushev, “Orbits of maximal dimension of solvable subgroups of reductive linear groups, and reduction for $U$-invariants”, Mat. Sb. (N.S.), 132(174):3 (1987), 371–382; Math. USSR-Sb., 60:2 (1988), 365–375
1985
15.
D. I. Panyushev, “A problem on the Steinberg conjecture”, Funktsional. Anal. i Prilozhen., 19:2 (1985), 84; Funct. Anal. Appl., 19:2 (1985), 152–153
16.
D. I. Panyushev, “Regular elements in spaces of linear representations. II”, Izv. Akad. Nauk SSSR Ser. Mat., 49:5 (1985), 979–985; Math. USSR-Izv., 27:2 (1986), 279–284
1984
17.
D. I. Panyushev, “Regular elements in spaces of linear representations of reductive algebraic groups”, Izv. Akad. Nauk SSSR Ser. Mat., 48:2 (1984), 411–419; Math. USSR-Izv., 24:2 (1985), 383–390
1983
18.
D. I. Panyushev, “Semisimple automorphism groups of four-dimensional affine space”, Izv. Akad. Nauk SSSR Ser. Mat., 47:4 (1983), 881–894; Math. USSR-Izv., 23:1 (1984), 171–183
1982
19.
D. I. Panyushev, “On orbit spaces of finite and connected linear groups”, Izv. Akad. Nauk SSSR Ser. Mat., 46:1 (1982), 95–99; Math. USSR-Izv., 20:1 (1983), 97–101
1985
20.
D. I. Panyushev, “Correction to my paper “Semisimple automorphism groups of four-dimensional affine space””, Izv. Akad. Nauk SSSR Ser. Mat., 49:6 (1985), 1336–1337; Math. USSR-Izv., 27:3 (1986), 607–608
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