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## Panyushev, Dmitri Ivanovich

Compute Distance To:
 Author ID: panyushev.dmitri-i Published as: Panyushev, D.; Panyushev, D. I.; Panyushev, Dimitri I.; Panyushev, Dimitrii I.; Panyushev, Dmitri; Panyushev, Dmitri I.; Panyushev, Dmitrij I. External Links: MGP · Wikidata
 Documents Indexed: 116 Publications since 1982 Reviewing Activity: 43 Reviews
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#### Co-Authors

 93 single-authored 16 Yakimova, Oksana S. 2 Röhrle, Gerhard E. 2 Vinberg, Èrnest Borisovich 1 Akhiezer, Dmitriĭ Naumovich 1 Elashvili, Alexander G. 1 Gurevich, Dmitrii 1 Premet, Alexander A.
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#### Serials

 10 Journal of Algebra 9 Transformation Groups 7 Functional Analysis and its Applications 5 Advances in Mathematics 5 Annales de l’Institut Fourier 5 Mathematics of the USSR. Izvestiya 4 Bulletin des Sciences Mathématiques 3 Journal of the London Mathematical Society. Second Series 3 Mathematische Zeitschrift 3 European Journal of Combinatorics 3 IMRN. International Mathematics Research Notices 3 Mathematics of the USSR, Sbornik 3 Indagationes Mathematicae. New Series 3 Journal of Algebraic Combinatorics 3 Journal of Lie Theory 3 Moscow Mathematical Journal 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Bulletin of the London Mathematical Society 2 Commentarii Mathematici Helvetici 2 Journal of Pure and Applied Algebra 2 Manuscripta Mathematica 2 Matematicheskiĭ Sbornik. Novaya Seriya 2 Pacific Journal of Mathematics 2 Selecta Mathematica. New Series 2 Algebras and Representation Theory 1 Moscow University Mathematics Bulletin 1 Russian Mathematical Surveys 1 Archiv der Mathematik 1 Canadian Journal of Mathematics 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Geometriae Dedicata 1 Mathematische Annalen 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Soviet Mathematics. Doklady 1 Transactions of the Moscow Mathematical Society 1 International Journal of Mathematics 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Journal of Mathematical Sciences (New York) 1 Mathematical Research Letters 1 Journal of the European Mathematical Society (JEMS) 1 Journal of the Australian Mathematical Society 1 Algebra & Number Theory 1 Journal of Combinatorics
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#### Fields

 74 Nonassociative rings and algebras (17-XX) 62 Algebraic geometry (14-XX) 33 Group theory and generalizations (20-XX) 17 Topological groups, Lie groups (22-XX) 13 Commutative algebra (13-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 3 Combinatorics (05-XX) 2 Differential geometry (53-XX) 1 History and biography (01-XX) 1 Associative rings and algebras (16-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX)

#### Citations contained in zbMATH

89 Publications have been cited 666 times in 383 Documents Cited by Year
Complexity and nilpotent orbits. Zbl 0822.14024
Panyushev, Dimitrii I.
1994
On symmetric invariants of centralisers in reductive Lie algebras. Zbl 1163.17012
Panyushev, D.; Premet, A.; Yakimova, O.
2007
Inductive formulas for the index of seaweed Lie algebras. Zbl 0998.17008
Panyushev, Dmitri I.
2001
ad-nilpotent ideals of a Borel subalgebra: generators and duality. Zbl 1067.17005
Panyushev, Dmitri I.
2004
Rationality of singularities and the Gorenstein property for nilpotent orbits. Zbl 0749.14030
Panyushev, D. I.
1991
The argument shift method and maximal commutative subalgebras of Poisson algebras. Zbl 1241.17025
Panyushev, Dmitri I.; Yakimova, Oksana S.
2008
Spherical orbits and Abelian ideals. Zbl 0993.22016
Panyushev, Dmitri; Röhrle, Gerhard
2001
On orbits of antichains of positive roots. Zbl 1165.06001
Panyushev, Dmitri I.
2009
On the coadjoint representation of $$\mathbb Z_2$$-contractions of reductive Lie algebras. Zbl 1177.17010
Panyushev, Dmitri I.
2007
The index of a Lie algebra, the centralizer of a nilpotent element, and the normalizer of the centralizer. Zbl 1041.17022
Panyushev, Dmitri I.
2003
On spherical nilpotent orbits and beyond. Zbl 0944.17013
Panyushev, Dmitri I.
1999
Abelian ideals of a Borel subalgebra and long positive roots. Zbl 1067.17004
Panyushev, Dmitri I.
2003
Complexity and rank of homogeneous spaces. Zbl 0706.14032
Panyushev, D. I.
1990
Some amazing properties of spherical nilpotent orbits. Zbl 1101.17012
Panyushev, Dmitri I.
2003
On invariant theory of $$\theta$$-groups. Zbl 1071.17005
Panyushev, Dmitri I.
2005
Semi-direct products of Lie algebras and their invariants. Zbl 1151.14036
Panyushev, Dmitri I.
2007
Isotropy representations, eigenvalues of a Casimir element, and commutative Lie subalgebras. Zbl 1012.17005
Panyushev, Dmitri I.
2001
The Jacobian modules of a representation of a Lie algebra and geometry of commuting varieties. Zbl 0834.17003
Panyushev, Dmitrij I.
1994
An extension of Raïs’ theorem and seaweed subalgebras of simple Lie algebras. Zbl 1151.17305
Panyushev, Dmitri I.
2005
On the conormal bundle of a $$G$$-stable subvariety. Zbl 0961.14030
Panyushev, Dmitri I.
1999
A restriction theorem and the Poincaré series for $$U$$-invariants. Zbl 0820.14033
Panyushev, Dmitri I.
1995
Complexity and rank of double cones and tensor product decompositions. Zbl 0804.14024
Panyushev, D. I.
1993
Two results on centralisers of nilpotent elements. Zbl 1137.17017
Panyushev, Dmitri I.
2008
Symmetric pairs and associated commuting varieties. Zbl 1126.17010
Panyushev, Dmitri; Yakimova, Oksana
2007
The exterior algebra and “spin” of an orthogonal $${\mathfrak g}$$-module. Zbl 0994.17004
Panyushev, Dmitri I.
2001
On Poisson pairs associated to modified $$R$$-matrices. Zbl 0824.58022
Gurevich, Dmitrii; Panyushev, Dmitri I.
1994
On seaweed subalgebras and meander graphs in type $$\mathsf{C}$$. Zbl 1378.17021
Panyushev, Dmitri I.; Yakimova, Oksana S.
2016
Generalised Kostka-Foulkes polynomials and cohomology of line bundles on homogeneous vector bundles. Zbl 1248.17006
Panyushev, Dmitri I.
2010
Parabolic subgroups with Abelian unipotent radical as a testing site for invariant theory. Zbl 0955.20028
Panyushev, Dmitri I.
1999
Complexity of quasiaffine homogeneous varieties, $$t$$-decompositions, and affine homogeneous spaces of complexity 1. Zbl 0763.14024
Panyushev, D. I.
1992
Parabolic contractions of semisimple Lie algebras and their invariants. Zbl 1275.13004
Panyushev, Dmitri I.; Yakimova, Oksana S.
2013
A remarkable contraction of semisimple Lie algebras. Zbl 1266.13003
Panyushev, Dmitri I.; Yakimova, Oksana S.
2012
On the Dynkin index of a principal $${\mathfrak{sl}}_2$$-subalgebra. Zbl 1163.17013
Panyushev, Dmitri I.
2009
Short antichains in root systems, semi-Catalan arrangements, and $$B$$-stable subspaces. Zbl 1171.17301
Panyushev, Dmitri I.
2004
A classification of the principal nilpotent pairs in simple Lie algebras and related problems. Zbl 1011.17009
Elashvili, Alexander G.; Panyushev, Dmitri I.
2001
Nilpotent pairs, dual pairs, and sheets. Zbl 1136.17303
Panyushev, Dmitri I.
2001
Nilpotent pairs in semisimple Lie algebras and their characteristics. Zbl 0954.17007
Panyushev, Dmitri I.
2000
Complexity and rank of actions in invariant theory. Zbl 0996.14022
Panyushev, D. I.
1999
On orbit spaces of finite and connected linear groups. Zbl 0517.20019
Panyushev, D. I.
1983
On the orbits of a Borel subgroup in abelian ideals. Zbl 1377.22016
Panyushev, Dmitri
2017
Abelian ideals of a Borel subalgebra and root systems. Zbl 1362.17013
Panyushev, Dmitri I.
2014
The poset of positive roots and its relatives. Zbl 1091.17008
Panyushev, Dmitri I.
2006
Normalizers of ad-nilpotent ideals. Zbl 1091.17007
Panyushev, Dmitri I.
2006
Long Abelian ideals. Zbl 1052.17002
Panyushev, Dmitri I.
2004
On homogeneous spaces of rank one. Zbl 0838.53041
Panyushev, Dmitri
1995
Two covering polynomials of a finite poset, with applications to root systems and ad-nilpotent ideals. Zbl 1295.06001
Panyushev, Dmitri
2012
Weight multiplicity free representations, $$\mathfrak g$$-endomorphism algebras, and Dynkin polynomials. Zbl 1052.17001
Panyushev, Dimitri I.
2004
On actions of a maximal torus on orbits of highest weight vectors. Zbl 0937.20023
Panyushev, Dmitri I.
1999
Cones of highest weight vectors, weight polytopes, and Lusztig’s $$q$$-analog. Zbl 0891.22013
Panyushev, D.
1997
On deformation method in invariant theory. Zbl 0878.14008
Panyushev, Dmitri
1997
Construction of the canonical module and the Gorenstein property for some quasihomogeneous varieties. Zbl 0658.14024
Panyushev, D. I.
1988
On seaweed subalgebras and meander graphs in type D. Zbl 1395.17020
Panyushev, Dmitri I.; Yakimova, Oksana S.
2018
On maximal commutative subalgebras of Poisson algebras associated with involutions of semisimple Lie algebras. Zbl 1353.17010
Panyushev, Dmitri I.; Yakimova, Oksana S.
2014
The work of Vladimir Morozov on Lie algebras. Zbl 1206.01057
Panyushev, Dmitri I.; Vinberg, Ernest B.
2010
Actions of the derived group of a maximal unipotent subgroup on $$G$$-varieties. Zbl 1193.14062
Panyushev, Dmitri I.
2010
The index of representations associated with stabilisers. Zbl 1153.17004
Panyushev, Dmitri I.; Yakimova, Oksana S.
2006
Ideals of Heisenberg type and minimax elements of affine Weyl groups. Zbl 1086.17005
Panyushev, Dmitri I.
2005
On reachable elements and the boundary of nilpotent orbits in simple Lie algebras. Zbl 1072.14068
Panyushev, Dmitri I.
2004
On the irreducibility of commuting varieties associated with involutions of simple Lie algebras. Zbl 1125.17001
Panyushev, D. I.
2004
On covariants of reductive algebraic groups. Zbl 1040.20037
Panyushev, Dmitri I.
2002
Multiplicities in the branching rules and the complexity of homogeneous spaces. Zbl 1052.14050
Akhiezer, Dmitri; Panyushev, Dmitri
2002
Reductive group actions on affine varieties and their doubling. Zbl 0831.14022
Panyushev, Dmitri I.
1995
Good properties of algebras of invariants and defect of linear representations. Zbl 0845.14008
Panyushev, Dmitri
1995
On semisimple groups admitting a finite coregular extension. Zbl 0830.14018
Panyushev, D. I.
1993
Orbits of maximal dimension of solvable subgroups of reductive linear groups, and reduction for U-invariants. Zbl 0663.20044
Panyushev, D. I.
1988
Orbits of largest dimension of solvable subgroups of reductive linear groups and reduction for U-invariants. Zbl 0628.20034
Panyushev, D. I.
1987
Regular elements in spaces of linear representations of reductive algebraic groups. Zbl 0557.20026
Panyushev, D. I.
1985
Symmetric invariants related to representations of exceptional simple groups. Zbl 1397.14063
Panyushev, Dmitri I.; Yakimova, Oksana S.
2017
Antichains in weight posets associated with gradings of simple Lie algebras. Zbl 1333.17010
Panyushev, Dmitri I.
2015
The Dynkin index and $$\mathfrak{sl}_2$$-subalgebras of simple Lie algebras. Zbl 1375.17009
Panyushev, Dmitri I.
2015
Commuting involutions and degenerations of isotropy representations. Zbl 1317.17022
Panyushev, Dmitri I.
2013
Invariant theory of little adjoint modules. Zbl 1246.14060
Panyushev, Dmitri I.
2012
Abelian ideals of a Borel subalgebra and subsets of the Dynkin diagram. Zbl 1259.17007
Panyushev, Dmitri I.
2011
Periodic automorphisms of Takiff algebras, contractions, and $$\theta$$-groups. Zbl 1258.17011
Panyushev, Dmitri I.
2009
The PRV-formula for tensor product decompositions and its applications. Zbl 1213.17008
Panyushev, D. I.; Yakimova, O. S.
2008
On spherical ideals of Borel subalgebras. Zbl 1076.14061
Panyushev, Dmitri; Röhrle, Gerhard
2005
Multiplicities of weights of some representations and convex polytope. Zbl 0866.22015
Panyushev, D. I.
1994
Regular elements in spaces of linear representations. II. Zbl 0618.20029
Panyushev, D. I.
1986
Takiff algebras with polynomial rings of symmetric invariants. Zbl 07205378
Panyushev, Dmitri I.; Yakimova, Oksana S.
2020
Poisson-commutative subalgebras and complete integrability on non-regular coadjoint orbits and flag varieties. Zbl 1444.17005
Panyushev, Dmitri I.; Yakimova, Oksana S.
2020
Semi-direct products of Lie algebras and covariants. Zbl 1430.17016
Panyushev, Dmitri I.; Yakimova, Oksana S.
2017
Normalisers of abelian ideals of a Borel subalgebra and $$\mathbb{Z}$$-gradings of a simple Lie algebra. Zbl 1406.17018
Panyushev, Dmitri I.
2016
Minimal inversion complete sets and maximal abelian ideals. Zbl 1393.17021
Panyushev, Dmitri I.
2016
Fredman’s reciprocity, invariants of Abelian groups, and the permanent of the Cayley table. Zbl 1214.20013
Panyushev, Dmitri I.
2011
Properties of weight posets for weight multiplicity free representations. Zbl 1227.17003
Panyushev, Dmitri I.
2009
Adjoint vector fields and differential operators on representation spaces. Zbl 1158.14040
Panyushev, Dmitri I.
2008
An infinitesimal characterization of the complexity of homogeneous spaces. Zbl 0940.14037
Panyushev, D. I.; Vinberg, E. B.
1999
The structure of the canonical module and the Gorenstein property for some quasihomogeneous varieties. Zbl 0681.14029
Panyushev, D. I.
1990
Semisimple automorphism groups of four-dimensional affine space. Zbl 0581.14033
Panyushev, D. I.
1984
Takiff algebras with polynomial rings of symmetric invariants. Zbl 07205378
Panyushev, Dmitri I.; Yakimova, Oksana S.
2020
Poisson-commutative subalgebras and complete integrability on non-regular coadjoint orbits and flag varieties. Zbl 1444.17005
Panyushev, Dmitri I.; Yakimova, Oksana S.
2020
On seaweed subalgebras and meander graphs in type D. Zbl 1395.17020
Panyushev, Dmitri I.; Yakimova, Oksana S.
2018
On the orbits of a Borel subgroup in abelian ideals. Zbl 1377.22016
Panyushev, Dmitri
2017
Symmetric invariants related to representations of exceptional simple groups. Zbl 1397.14063
Panyushev, Dmitri I.; Yakimova, Oksana S.
2017
Semi-direct products of Lie algebras and covariants. Zbl 1430.17016
Panyushev, Dmitri I.; Yakimova, Oksana S.
2017
On seaweed subalgebras and meander graphs in type $$\mathsf{C}$$. Zbl 1378.17021
Panyushev, Dmitri I.; Yakimova, Oksana S.
2016
Normalisers of abelian ideals of a Borel subalgebra and $$\mathbb{Z}$$-gradings of a simple Lie algebra. Zbl 1406.17018
Panyushev, Dmitri I.
2016
Minimal inversion complete sets and maximal abelian ideals. Zbl 1393.17021
Panyushev, Dmitri I.
2016
Antichains in weight posets associated with gradings of simple Lie algebras. Zbl 1333.17010
Panyushev, Dmitri I.
2015
The Dynkin index and $$\mathfrak{sl}_2$$-subalgebras of simple Lie algebras. Zbl 1375.17009
Panyushev, Dmitri I.
2015
Abelian ideals of a Borel subalgebra and root systems. Zbl 1362.17013
Panyushev, Dmitri I.
2014
On maximal commutative subalgebras of Poisson algebras associated with involutions of semisimple Lie algebras. Zbl 1353.17010
Panyushev, Dmitri I.; Yakimova, Oksana S.
2014
Parabolic contractions of semisimple Lie algebras and their invariants. Zbl 1275.13004
Panyushev, Dmitri I.; Yakimova, Oksana S.
2013
Commuting involutions and degenerations of isotropy representations. Zbl 1317.17022
Panyushev, Dmitri I.
2013
A remarkable contraction of semisimple Lie algebras. Zbl 1266.13003
Panyushev, Dmitri I.; Yakimova, Oksana S.
2012
Two covering polynomials of a finite poset, with applications to root systems and ad-nilpotent ideals. Zbl 1295.06001
Panyushev, Dmitri
2012
Invariant theory of little adjoint modules. Zbl 1246.14060
Panyushev, Dmitri I.
2012
Abelian ideals of a Borel subalgebra and subsets of the Dynkin diagram. Zbl 1259.17007
Panyushev, Dmitri I.
2011
Fredman’s reciprocity, invariants of Abelian groups, and the permanent of the Cayley table. Zbl 1214.20013
Panyushev, Dmitri I.
2011
Generalised Kostka-Foulkes polynomials and cohomology of line bundles on homogeneous vector bundles. Zbl 1248.17006
Panyushev, Dmitri I.
2010
The work of Vladimir Morozov on Lie algebras. Zbl 1206.01057
Panyushev, Dmitri I.; Vinberg, Ernest B.
2010
Actions of the derived group of a maximal unipotent subgroup on $$G$$-varieties. Zbl 1193.14062
Panyushev, Dmitri I.
2010
On orbits of antichains of positive roots. Zbl 1165.06001
Panyushev, Dmitri I.
2009
On the Dynkin index of a principal $${\mathfrak{sl}}_2$$-subalgebra. Zbl 1163.17013
Panyushev, Dmitri I.
2009
Periodic automorphisms of Takiff algebras, contractions, and $$\theta$$-groups. Zbl 1258.17011
Panyushev, Dmitri I.
2009
Properties of weight posets for weight multiplicity free representations. Zbl 1227.17003
Panyushev, Dmitri I.
2009
The argument shift method and maximal commutative subalgebras of Poisson algebras. Zbl 1241.17025
Panyushev, Dmitri I.; Yakimova, Oksana S.
2008
Two results on centralisers of nilpotent elements. Zbl 1137.17017
Panyushev, Dmitri I.
2008
The PRV-formula for tensor product decompositions and its applications. Zbl 1213.17008
Panyushev, D. I.; Yakimova, O. S.
2008
Adjoint vector fields and differential operators on representation spaces. Zbl 1158.14040
Panyushev, Dmitri I.
2008
On symmetric invariants of centralisers in reductive Lie algebras. Zbl 1163.17012
Panyushev, D.; Premet, A.; Yakimova, O.
2007
On the coadjoint representation of $$\mathbb Z_2$$-contractions of reductive Lie algebras. Zbl 1177.17010
Panyushev, Dmitri I.
2007
Semi-direct products of Lie algebras and their invariants. Zbl 1151.14036
Panyushev, Dmitri I.
2007
Symmetric pairs and associated commuting varieties. Zbl 1126.17010
Panyushev, Dmitri; Yakimova, Oksana
2007
The poset of positive roots and its relatives. Zbl 1091.17008
Panyushev, Dmitri I.
2006
Normalizers of ad-nilpotent ideals. Zbl 1091.17007
Panyushev, Dmitri I.
2006
The index of representations associated with stabilisers. Zbl 1153.17004
Panyushev, Dmitri I.; Yakimova, Oksana S.
2006
On invariant theory of $$\theta$$-groups. Zbl 1071.17005
Panyushev, Dmitri I.
2005
An extension of Raïs’ theorem and seaweed subalgebras of simple Lie algebras. Zbl 1151.17305
Panyushev, Dmitri I.
2005
Ideals of Heisenberg type and minimax elements of affine Weyl groups. Zbl 1086.17005
Panyushev, Dmitri I.
2005
On spherical ideals of Borel subalgebras. Zbl 1076.14061
Panyushev, Dmitri; Röhrle, Gerhard
2005
ad-nilpotent ideals of a Borel subalgebra: generators and duality. Zbl 1067.17005
Panyushev, Dmitri I.
2004
Short antichains in root systems, semi-Catalan arrangements, and $$B$$-stable subspaces. Zbl 1171.17301
Panyushev, Dmitri I.
2004
Long Abelian ideals. Zbl 1052.17002
Panyushev, Dmitri I.
2004
Weight multiplicity free representations, $$\mathfrak g$$-endomorphism algebras, and Dynkin polynomials. Zbl 1052.17001
Panyushev, Dimitri I.
2004
On reachable elements and the boundary of nilpotent orbits in simple Lie algebras. Zbl 1072.14068
Panyushev, Dmitri I.
2004
On the irreducibility of commuting varieties associated with involutions of simple Lie algebras. Zbl 1125.17001
Panyushev, D. I.
2004
The index of a Lie algebra, the centralizer of a nilpotent element, and the normalizer of the centralizer. Zbl 1041.17022
Panyushev, Dmitri I.
2003
Abelian ideals of a Borel subalgebra and long positive roots. Zbl 1067.17004
Panyushev, Dmitri I.
2003
Some amazing properties of spherical nilpotent orbits. Zbl 1101.17012
Panyushev, Dmitri I.
2003
On covariants of reductive algebraic groups. Zbl 1040.20037
Panyushev, Dmitri I.
2002
Multiplicities in the branching rules and the complexity of homogeneous spaces. Zbl 1052.14050
Akhiezer, Dmitri; Panyushev, Dmitri
2002
Inductive formulas for the index of seaweed Lie algebras. Zbl 0998.17008
Panyushev, Dmitri I.
2001
Spherical orbits and Abelian ideals. Zbl 0993.22016
Panyushev, Dmitri; Röhrle, Gerhard
2001
Isotropy representations, eigenvalues of a Casimir element, and commutative Lie subalgebras. Zbl 1012.17005
Panyushev, Dmitri I.
2001
The exterior algebra and “spin” of an orthogonal $${\mathfrak g}$$-module. Zbl 0994.17004
Panyushev, Dmitri I.
2001
A classification of the principal nilpotent pairs in simple Lie algebras and related problems. Zbl 1011.17009
Elashvili, Alexander G.; Panyushev, Dmitri I.
2001
Nilpotent pairs, dual pairs, and sheets. Zbl 1136.17303
Panyushev, Dmitri I.
2001
Nilpotent pairs in semisimple Lie algebras and their characteristics. Zbl 0954.17007
Panyushev, Dmitri I.
2000
On spherical nilpotent orbits and beyond. Zbl 0944.17013
Panyushev, Dmitri I.
1999
On the conormal bundle of a $$G$$-stable subvariety. Zbl 0961.14030
Panyushev, Dmitri I.
1999
Parabolic subgroups with Abelian unipotent radical as a testing site for invariant theory. Zbl 0955.20028
Panyushev, Dmitri I.
1999
Complexity and rank of actions in invariant theory. Zbl 0996.14022
Panyushev, D. I.
1999
On actions of a maximal torus on orbits of highest weight vectors. Zbl 0937.20023
Panyushev, Dmitri I.
1999
An infinitesimal characterization of the complexity of homogeneous spaces. Zbl 0940.14037
Panyushev, D. I.; Vinberg, E. B.
1999
Cones of highest weight vectors, weight polytopes, and Lusztig’s $$q$$-analog. Zbl 0891.22013
Panyushev, D.
1997
On deformation method in invariant theory. Zbl 0878.14008
Panyushev, Dmitri
1997
A restriction theorem and the Poincaré series for $$U$$-invariants. Zbl 0820.14033
Panyushev, Dmitri I.
1995
On homogeneous spaces of rank one. Zbl 0838.53041
Panyushev, Dmitri
1995
Reductive group actions on affine varieties and their doubling. Zbl 0831.14022
Panyushev, Dmitri I.
1995
Good properties of algebras of invariants and defect of linear representations. Zbl 0845.14008
Panyushev, Dmitri
1995
Complexity and nilpotent orbits. Zbl 0822.14024
Panyushev, Dimitrii I.
1994
The Jacobian modules of a representation of a Lie algebra and geometry of commuting varieties. Zbl 0834.17003
Panyushev, Dmitrij I.
1994
On Poisson pairs associated to modified $$R$$-matrices. Zbl 0824.58022
Gurevich, Dmitrii; Panyushev, Dmitri I.
1994
Multiplicities of weights of some representations and convex polytope. Zbl 0866.22015
Panyushev, D. I.
1994
Complexity and rank of double cones and tensor product decompositions. Zbl 0804.14024
Panyushev, D. I.
1993
On semisimple groups admitting a finite coregular extension. Zbl 0830.14018
Panyushev, D. I.
1993
Complexity of quasiaffine homogeneous varieties, $$t$$-decompositions, and affine homogeneous spaces of complexity 1. Zbl 0763.14024
Panyushev, D. I.
1992
Rationality of singularities and the Gorenstein property for nilpotent orbits. Zbl 0749.14030
Panyushev, D. I.
1991
Complexity and rank of homogeneous spaces. Zbl 0706.14032
Panyushev, D. I.
1990
The structure of the canonical module and the Gorenstein property for some quasihomogeneous varieties. Zbl 0681.14029
Panyushev, D. I.
1990
Construction of the canonical module and the Gorenstein property for some quasihomogeneous varieties. Zbl 0658.14024
Panyushev, D. I.
1988
Orbits of maximal dimension of solvable subgroups of reductive linear groups, and reduction for U-invariants. Zbl 0663.20044
Panyushev, D. I.
1988
Orbits of largest dimension of solvable subgroups of reductive linear groups and reduction for U-invariants. Zbl 0628.20034
Panyushev, D. I.
1987
Regular elements in spaces of linear representations. II. Zbl 0618.20029
Panyushev, D. I.
1986
Regular elements in spaces of linear representations of reductive algebraic groups. Zbl 0557.20026
Panyushev, D. I.
1985
Semisimple automorphism groups of four-dimensional affine space. Zbl 0581.14033
Panyushev, D. I.
1984
On orbit spaces of finite and connected linear groups. Zbl 0517.20019
Panyushev, D. I.
1983
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#### Cited by 345 Authors

 60 Panyushev, Dmitri Ivanovich 21 Yakimova, Oksana S. 11 Papi, Paolo 8 Joseph, Anthony 8 Möseneder Frajria, Pierluigi 6 Cellini, Paola 6 Goodwin, Simon M. 6 Moreau, Anne 6 Ooms, Alfons I. 6 Vinberg, Èrnest Borisovich 5 Bravi, Paolo 5 Bulois, Michaël 5 Fauquant-Millet, Florence 5 Gandini, Jacopo 5 Kac, Victor G. 5 Khatami, Leila 5 Knop, Friedrich 5 Molev, Alexander I. 5 Yu, Rupert Wei Tze 4 Avdeev, Roman S. 4 Baur, Karin 4 Boos, Magdalena 4 Coll, Vincent E. jun. 4 de Graaf, Willem Adriaan 4 Donin, Joseph 4 Fu, Baohua 4 Gurevich, Dmitrii 4 Iarrobino, Anthony A. 4 Levy, Paul D. 4 Luo, Li 4 Maffei, Andrea 4 Pechenik, Oliver 4 Roby, Tom 3 Arzhantsev, Ivan Vladimirovich 3 Athanasiadis, Christos A. 3 Basili, Roberta 3 Charbonnel, Jean-Yves 3 Choy, Jaeyoo 3 De Concini, Corrado 3 Elashvili, Alexander G. 3 Hanany, Amihay 3 Joseph, Michael 3 Khoroshkin, Sergey M. 3 Losev, Ivan V. 3 Nishiyama, Kyo 3 Petukhov, Alexey V. 3 Premet, Alexander A. 3 Rybnikov, Leonid Grigor’evich 3 Sommers, Eric N. 3 Striker, Jessica 3 Timashev, Dmitri A. 2 Achar, Pramod N. 2 Adamović, Dražen 2 Akhiezer, Dmitriĭ Naumovich 2 Arakawa, Tomoyuki 2 Araújo, Fátima 2 Armstrong, Drew 2 Barbasch, Dan M. 2 Barnard, Emily 2 Barnea, Nurit 2 Blasiak, Jonah 2 Bolsinov, Alexey V. 2 Broer, Abraham 2 Brown, Jonathan S. 2 Burns, John M. 2 Carnovale, Giovanna 2 Costantini, Mauro 2 Crooks, Peter 2 Cuntz, Michael Joachim 2 Cupit-Foutou, Stéphanie 2 Dilks, Kevin 2 Djebali, Nabila 2 Fang, Chuying 2 Fresse, Lucas 2 Giacomelli, Simone 2 Gorfinkel, N. E. 2 Han, Gang 2 Hopkins, Samuel Francis 2 Huang, Jia 2 Hyatt, Matthew 2 Juteau, Daniel 2 Khare, Apoorva 2 King, Donald R. 2 Kraft, Hanspeter 2 Lamprou, Polyxeni 2 Lê Hông Vân 2 Levasseur, Thierry 2 Luna, Dominique 2 Maruyoshi, Kazunobu 2 Mayers, Nicholas W. 2 Melnikov, Anna 2 Morse, Jennifer 2 Musiker, Gregg 2 Nakajima, Haruhisa 2 Namikawa, Yoshinori 2 Nang, Philibert 2 Oblak, Polona 2 Ohta, Takuya 2 Ostrik, Victor Valentinovich 2 Perše, Ozren ...and 245 more Authors
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#### Cited in 93 Serials

 58 Journal of Algebra 33 Transformation Groups 28 Advances in Mathematics 16 Annales de l’Institut Fourier 13 Representation Theory 11 Algebras and Representation Theory 9 Functional Analysis and its Applications 8 Journal of Pure and Applied Algebra 8 European Journal of Combinatorics 8 Selecta Mathematica. New Series 8 Journal of High Energy Physics 7 Mathematische Zeitschrift 7 Transactions of the American Mathematical Society 7 Journal of Algebraic Combinatorics 7 Bulletin des Sciences Mathématiques 6 Transactions of the Moscow Mathematical Society 6 Indagationes Mathematicae. New Series 5 Journal of Combinatorial Theory. Series A 5 Mathematische Annalen 5 Journal of Mathematical Sciences (New York) 4 Manuscripta Mathematica 4 Linear Algebra and its Applications 4 Journal of the European Mathematical Society (JEMS) 3 Communications in Algebra 3 Communications in Mathematical Physics 3 Letters in Mathematical Physics 3 Journal of Geometry and Physics 3 Compositio Mathematica 3 Proceedings of the American Mathematical Society 3 Journal of the American Mathematical Society 3 International Journal of Mathematics 3 Journal of Lie Theory 3 Séminaire Lotharingien de Combinatoire 3 Algebraic Combinatorics 2 Theoretical and Mathematical Physics 2 Mathematics of Computation 2 Duke Mathematical Journal 2 Geometriae Dedicata 2 Nagoya Mathematical Journal 2 Tohoku Mathematical Journal. Second Series 2 Advances in Applied Mathematics 2 Annals of Global Analysis and Geometry 2 Experimental Mathematics 2 Algebra Colloquium 2 The Electronic Journal of Combinatorics 2 Documenta Mathematica 2 LMS Journal of Computation and Mathematics 2 Acta Mathematica Sinica. English Series 2 Journal of the Australian Mathematical Society 2 Journal of Algebra and its Applications 2 Science China. Mathematics 1 Discrete Mathematics 1 Israel Journal of Mathematics 1 Linear and Multilinear Algebra 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Acta Mathematica Vietnamica 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Czechoslovak Mathematical Journal 1 Glasgow Mathematical Journal 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Journal of Geometry 1 Journal of the Mathematical Society of Japan 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Rendiconti del Seminario Matematico della Università di Padova 1 Topology and its Applications 1 Journal of Symbolic Computation 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Differential Geometry and its Applications 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 St. Petersburg Mathematical Journal 1 Annales Mathématiques Blaise Pascal 1 Izvestiya: Mathematics 1 Doklady Mathematics 1 Annals of Combinatorics 1 Regular and Chaotic Dynamics 1 Communications in Contemporary Mathematics 1 Journal of Nonlinear Mathematical Physics 1 JP Journal of Algebra, Number Theory and Applications 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Journal of Commutative Algebra 1 Kyoto Journal of Mathematics 1 Forum of Mathematics, Pi 1 Forum of Mathematics, Sigma 1 Arnold Mathematical Journal 1 Research in Number Theory 1 Tunisian Journal of Mathematics 1 The Art of Discrete and Applied Mathematics
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#### Cited in 31 Fields

 216 Nonassociative rings and algebras (17-XX) 131 Algebraic geometry (14-XX) 94 Group theory and generalizations (20-XX) 48 Combinatorics (05-XX) 36 Topological groups, Lie groups (22-XX) 33 Associative rings and algebras (16-XX) 29 Differential geometry (53-XX) 25 Commutative algebra (13-XX) 24 Order, lattices, ordered algebraic structures (06-XX) 18 Quantum theory (81-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 11 Several complex variables and analytic spaces (32-XX) 9 Number theory (11-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Convex and discrete geometry (52-XX) 6 Category theory; homological algebra (18-XX) 4 Geometry (51-XX) 3 Partial differential equations (35-XX) 3 Manifolds and cell complexes (57-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Mechanics of particles and systems (70-XX) 3 Relativity and gravitational theory (83-XX) 2 General and overarching topics; collections (00-XX) 2 Field theory and polynomials (12-XX) 2 Abstract harmonic analysis (43-XX) 2 Algebraic topology (55-XX) 1 History and biography (01-XX) 1 $$K$$-theory (19-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX)