Edit Profile Panyushev, Dmitri Ivanovich Compute Distance To: Compute 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 all top 5 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. all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 89 Publications have been cited 666 times in 383 Documents Cited by ▼ Year ▼ Complexity and nilpotent orbits. Zbl 0822.14024Panyushev, Dimitrii I. 36 1994 On symmetric invariants of centralisers in reductive Lie algebras. Zbl 1163.17012Panyushev, D.; Premet, A.; Yakimova, O. 34 2007 Inductive formulas for the index of seaweed Lie algebras. Zbl 0998.17008Panyushev, Dmitri I. 26 2001 ad-nilpotent ideals of a Borel subalgebra: generators and duality. Zbl 1067.17005Panyushev, Dmitri I. 24 2004 Rationality of singularities and the Gorenstein property for nilpotent orbits. Zbl 0749.14030Panyushev, D. I. 24 1991 The argument shift method and maximal commutative subalgebras of Poisson algebras. Zbl 1241.17025Panyushev, Dmitri I.; Yakimova, Oksana S. 23 2008 Spherical orbits and Abelian ideals. Zbl 0993.22016Panyushev, Dmitri; Röhrle, Gerhard 23 2001 On orbits of antichains of positive roots. Zbl 1165.06001Panyushev, Dmitri I. 21 2009 On the coadjoint representation of \(\mathbb Z_2\)-contractions of reductive Lie algebras. Zbl 1177.17010Panyushev, Dmitri I. 21 2007 The index of a Lie algebra, the centralizer of a nilpotent element, and the normalizer of the centralizer. Zbl 1041.17022Panyushev, Dmitri I. 19 2003 On spherical nilpotent orbits and beyond. Zbl 0944.17013Panyushev, Dmitri I. 19 1999 Abelian ideals of a Borel subalgebra and long positive roots. Zbl 1067.17004Panyushev, Dmitri I. 18 2003 Complexity and rank of homogeneous spaces. Zbl 0706.14032Panyushev, D. I. 17 1990 Some amazing properties of spherical nilpotent orbits. Zbl 1101.17012Panyushev, Dmitri I. 16 2003 On invariant theory of \(\theta\)-groups. Zbl 1071.17005Panyushev, Dmitri I. 15 2005 Semi-direct products of Lie algebras and their invariants. Zbl 1151.14036Panyushev, Dmitri I. 14 2007 Isotropy representations, eigenvalues of a Casimir element, and commutative Lie subalgebras. Zbl 1012.17005Panyushev, Dmitri I. 13 2001 The Jacobian modules of a representation of a Lie algebra and geometry of commuting varieties. Zbl 0834.17003Panyushev, Dmitrij I. 13 1994 An extension of Raïs’ theorem and seaweed subalgebras of simple Lie algebras. Zbl 1151.17305Panyushev, Dmitri I. 10 2005 On the conormal bundle of a \(G\)-stable subvariety. Zbl 0961.14030Panyushev, Dmitri I. 10 1999 A restriction theorem and the Poincaré series for \(U\)-invariants. Zbl 0820.14033Panyushev, Dmitri I. 10 1995 Complexity and rank of double cones and tensor product decompositions. Zbl 0804.14024Panyushev, D. I. 10 1993 Two results on centralisers of nilpotent elements. Zbl 1137.17017Panyushev, Dmitri I. 9 2008 Symmetric pairs and associated commuting varieties. Zbl 1126.17010Panyushev, Dmitri; Yakimova, Oksana 8 2007 The exterior algebra and “spin” of an orthogonal \({\mathfrak g}\)-module. Zbl 0994.17004Panyushev, Dmitri I. 8 2001 On Poisson pairs associated to modified \(R\)-matrices. Zbl 0824.58022Gurevich, Dmitrii; Panyushev, Dmitri I. 8 1994 On seaweed subalgebras and meander graphs in type \(\mathsf{C}\). Zbl 1378.17021Panyushev, Dmitri I.; Yakimova, Oksana S. 7 2016 Generalised Kostka-Foulkes polynomials and cohomology of line bundles on homogeneous vector bundles. Zbl 1248.17006Panyushev, Dmitri I. 7 2010 Parabolic subgroups with Abelian unipotent radical as a testing site for invariant theory. Zbl 0955.20028Panyushev, Dmitri I. 7 1999 Complexity of quasiaffine homogeneous varieties, \(t\)-decompositions, and affine homogeneous spaces of complexity 1. Zbl 0763.14024Panyushev, D. I. 7 1992 Parabolic contractions of semisimple Lie algebras and their invariants. Zbl 1275.13004Panyushev, Dmitri I.; Yakimova, Oksana S. 6 2013 A remarkable contraction of semisimple Lie algebras. Zbl 1266.13003Panyushev, Dmitri I.; Yakimova, Oksana S. 6 2012 On the Dynkin index of a principal \({\mathfrak{sl}}_2\)-subalgebra. Zbl 1163.17013Panyushev, Dmitri I. 6 2009 Short antichains in root systems, semi-Catalan arrangements, and \(B\)-stable subspaces. Zbl 1171.17301Panyushev, Dmitri I. 6 2004 A classification of the principal nilpotent pairs in simple Lie algebras and related problems. Zbl 1011.17009Elashvili, Alexander G.; Panyushev, Dmitri I. 6 2001 Nilpotent pairs, dual pairs, and sheets. Zbl 1136.17303Panyushev, Dmitri I. 6 2001 Nilpotent pairs in semisimple Lie algebras and their characteristics. Zbl 0954.17007Panyushev, Dmitri I. 6 2000 Complexity and rank of actions in invariant theory. Zbl 0996.14022Panyushev, D. I. 6 1999 On orbit spaces of finite and connected linear groups. Zbl 0517.20019Panyushev, D. I. 6 1983 On the orbits of a Borel subgroup in abelian ideals. Zbl 1377.22016Panyushev, Dmitri 5 2017 Abelian ideals of a Borel subalgebra and root systems. Zbl 1362.17013Panyushev, Dmitri I. 5 2014 The poset of positive roots and its relatives. Zbl 1091.17008Panyushev, Dmitri I. 5 2006 Normalizers of ad-nilpotent ideals. Zbl 1091.17007Panyushev, Dmitri I. 5 2006 Long Abelian ideals. Zbl 1052.17002Panyushev, Dmitri I. 5 2004 On homogeneous spaces of rank one. Zbl 0838.53041Panyushev, Dmitri 5 1995 Two covering polynomials of a finite poset, with applications to root systems and ad-nilpotent ideals. Zbl 1295.06001Panyushev, Dmitri 4 2012 Weight multiplicity free representations, \(\mathfrak g\)-endomorphism algebras, and Dynkin polynomials. Zbl 1052.17001Panyushev, Dimitri I. 4 2004 On actions of a maximal torus on orbits of highest weight vectors. Zbl 0937.20023Panyushev, Dmitri I. 4 1999 Cones of highest weight vectors, weight polytopes, and Lusztig’s \(q\)-analog. Zbl 0891.22013Panyushev, D. 4 1997 On deformation method in invariant theory. Zbl 0878.14008Panyushev, Dmitri 4 1997 Construction of the canonical module and the Gorenstein property for some quasihomogeneous varieties. Zbl 0658.14024Panyushev, D. I. 4 1988 On seaweed subalgebras and meander graphs in type D. Zbl 1395.17020Panyushev, Dmitri I.; Yakimova, Oksana S. 3 2018 On maximal commutative subalgebras of Poisson algebras associated with involutions of semisimple Lie algebras. Zbl 1353.17010Panyushev, Dmitri I.; Yakimova, Oksana S. 3 2014 The work of Vladimir Morozov on Lie algebras. Zbl 1206.01057Panyushev, Dmitri I.; Vinberg, Ernest B. 3 2010 Actions of the derived group of a maximal unipotent subgroup on \(G\)-varieties. Zbl 1193.14062Panyushev, Dmitri I. 3 2010 The index of representations associated with stabilisers. Zbl 1153.17004Panyushev, Dmitri I.; Yakimova, Oksana S. 3 2006 Ideals of Heisenberg type and minimax elements of affine Weyl groups. Zbl 1086.17005Panyushev, Dmitri I. 3 2005 On reachable elements and the boundary of nilpotent orbits in simple Lie algebras. Zbl 1072.14068Panyushev, Dmitri I. 3 2004 On the irreducibility of commuting varieties associated with involutions of simple Lie algebras. Zbl 1125.17001Panyushev, D. I. 3 2004 On covariants of reductive algebraic groups. Zbl 1040.20037Panyushev, Dmitri I. 3 2002 Multiplicities in the branching rules and the complexity of homogeneous spaces. Zbl 1052.14050Akhiezer, Dmitri; Panyushev, Dmitri 3 2002 Reductive group actions on affine varieties and their doubling. Zbl 0831.14022Panyushev, Dmitri I. 3 1995 Good properties of algebras of invariants and defect of linear representations. Zbl 0845.14008Panyushev, Dmitri 3 1995 On semisimple groups admitting a finite coregular extension. Zbl 0830.14018Panyushev, D. I. 3 1993 Orbits of maximal dimension of solvable subgroups of reductive linear groups, and reduction for U-invariants. Zbl 0663.20044Panyushev, D. I. 3 1988 Orbits of largest dimension of solvable subgroups of reductive linear groups and reduction for U-invariants. Zbl 0628.20034Panyushev, D. I. 3 1987 Regular elements in spaces of linear representations of reductive algebraic groups. Zbl 0557.20026Panyushev, D. I. 3 1985 Symmetric invariants related to representations of exceptional simple groups. Zbl 1397.14063Panyushev, Dmitri I.; Yakimova, Oksana S. 2 2017 Antichains in weight posets associated with gradings of simple Lie algebras. Zbl 1333.17010Panyushev, Dmitri I. 2 2015 The Dynkin index and \(\mathfrak{sl}_2\)-subalgebras of simple Lie algebras. Zbl 1375.17009Panyushev, Dmitri I. 2 2015 Commuting involutions and degenerations of isotropy representations. Zbl 1317.17022Panyushev, Dmitri I. 2 2013 Invariant theory of little adjoint modules. Zbl 1246.14060Panyushev, Dmitri I. 2 2012 Abelian ideals of a Borel subalgebra and subsets of the Dynkin diagram. Zbl 1259.17007Panyushev, Dmitri I. 2 2011 Periodic automorphisms of Takiff algebras, contractions, and \(\theta \)-groups. Zbl 1258.17011Panyushev, Dmitri I. 2 2009 The PRV-formula for tensor product decompositions and its applications. Zbl 1213.17008Panyushev, D. I.; Yakimova, O. S. 2 2008 On spherical ideals of Borel subalgebras. Zbl 1076.14061Panyushev, Dmitri; Röhrle, Gerhard 2 2005 Multiplicities of weights of some representations and convex polytope. Zbl 0866.22015Panyushev, D. I. 2 1994 Regular elements in spaces of linear representations. II. Zbl 0618.20029Panyushev, D. I. 2 1986 Takiff algebras with polynomial rings of symmetric invariants. Zbl 07205378Panyushev, Dmitri I.; Yakimova, Oksana S. 1 2020 Poisson-commutative subalgebras and complete integrability on non-regular coadjoint orbits and flag varieties. Zbl 1444.17005Panyushev, Dmitri I.; Yakimova, Oksana S. 1 2020 Semi-direct products of Lie algebras and covariants. Zbl 1430.17016Panyushev, Dmitri I.; Yakimova, Oksana S. 1 2017 Normalisers of abelian ideals of a Borel subalgebra and \(\mathbb{Z}\)-gradings of a simple Lie algebra. Zbl 1406.17018Panyushev, Dmitri I. 1 2016 Minimal inversion complete sets and maximal abelian ideals. Zbl 1393.17021Panyushev, Dmitri I. 1 2016 Fredman’s reciprocity, invariants of Abelian groups, and the permanent of the Cayley table. Zbl 1214.20013Panyushev, Dmitri I. 1 2011 Properties of weight posets for weight multiplicity free representations. Zbl 1227.17003Panyushev, Dmitri I. 1 2009 Adjoint vector fields and differential operators on representation spaces. Zbl 1158.14040Panyushev, Dmitri I. 1 2008 An infinitesimal characterization of the complexity of homogeneous spaces. Zbl 0940.14037Panyushev, D. I.; Vinberg, E. B. 1 1999 The structure of the canonical module and the Gorenstein property for some quasihomogeneous varieties. Zbl 0681.14029Panyushev, D. I. 1 1990 Semisimple automorphism groups of four-dimensional affine space. Zbl 0581.14033Panyushev, D. I. 1 1984 Takiff algebras with polynomial rings of symmetric invariants. Zbl 07205378Panyushev, Dmitri I.; Yakimova, Oksana S. 1 2020 Poisson-commutative subalgebras and complete integrability on non-regular coadjoint orbits and flag varieties. Zbl 1444.17005Panyushev, Dmitri I.; Yakimova, Oksana S. 1 2020 On seaweed subalgebras and meander graphs in type D. Zbl 1395.17020Panyushev, Dmitri I.; Yakimova, Oksana S. 3 2018 On the orbits of a Borel subgroup in abelian ideals. Zbl 1377.22016Panyushev, Dmitri 5 2017 Symmetric invariants related to representations of exceptional simple groups. Zbl 1397.14063Panyushev, Dmitri I.; Yakimova, Oksana S. 2 2017 Semi-direct products of Lie algebras and covariants. Zbl 1430.17016Panyushev, Dmitri I.; Yakimova, Oksana S. 1 2017 On seaweed subalgebras and meander graphs in type \(\mathsf{C}\). Zbl 1378.17021Panyushev, Dmitri I.; Yakimova, Oksana S. 7 2016 Normalisers of abelian ideals of a Borel subalgebra and \(\mathbb{Z}\)-gradings of a simple Lie algebra. Zbl 1406.17018Panyushev, Dmitri I. 1 2016 Minimal inversion complete sets and maximal abelian ideals. Zbl 1393.17021Panyushev, Dmitri I. 1 2016 Antichains in weight posets associated with gradings of simple Lie algebras. Zbl 1333.17010Panyushev, Dmitri I. 2 2015 The Dynkin index and \(\mathfrak{sl}_2\)-subalgebras of simple Lie algebras. Zbl 1375.17009Panyushev, Dmitri I. 2 2015 Abelian ideals of a Borel subalgebra and root systems. Zbl 1362.17013Panyushev, Dmitri I. 5 2014 On maximal commutative subalgebras of Poisson algebras associated with involutions of semisimple Lie algebras. Zbl 1353.17010Panyushev, Dmitri I.; Yakimova, Oksana S. 3 2014 Parabolic contractions of semisimple Lie algebras and their invariants. Zbl 1275.13004Panyushev, Dmitri I.; Yakimova, Oksana S. 6 2013 Commuting involutions and degenerations of isotropy representations. Zbl 1317.17022Panyushev, Dmitri I. 2 2013 A remarkable contraction of semisimple Lie algebras. Zbl 1266.13003Panyushev, Dmitri I.; Yakimova, Oksana S. 6 2012 Two covering polynomials of a finite poset, with applications to root systems and ad-nilpotent ideals. Zbl 1295.06001Panyushev, Dmitri 4 2012 Invariant theory of little adjoint modules. Zbl 1246.14060Panyushev, Dmitri I. 2 2012 Abelian ideals of a Borel subalgebra and subsets of the Dynkin diagram. Zbl 1259.17007Panyushev, Dmitri I. 2 2011 Fredman’s reciprocity, invariants of Abelian groups, and the permanent of the Cayley table. Zbl 1214.20013Panyushev, Dmitri I. 1 2011 Generalised Kostka-Foulkes polynomials and cohomology of line bundles on homogeneous vector bundles. Zbl 1248.17006Panyushev, Dmitri I. 7 2010 The work of Vladimir Morozov on Lie algebras. Zbl 1206.01057Panyushev, Dmitri I.; Vinberg, Ernest B. 3 2010 Actions of the derived group of a maximal unipotent subgroup on \(G\)-varieties. Zbl 1193.14062Panyushev, Dmitri I. 3 2010 On orbits of antichains of positive roots. Zbl 1165.06001Panyushev, Dmitri I. 21 2009 On the Dynkin index of a principal \({\mathfrak{sl}}_2\)-subalgebra. Zbl 1163.17013Panyushev, Dmitri I. 6 2009 Periodic automorphisms of Takiff algebras, contractions, and \(\theta \)-groups. Zbl 1258.17011Panyushev, Dmitri I. 2 2009 Properties of weight posets for weight multiplicity free representations. Zbl 1227.17003Panyushev, Dmitri I. 1 2009 The argument shift method and maximal commutative subalgebras of Poisson algebras. Zbl 1241.17025Panyushev, Dmitri I.; Yakimova, Oksana S. 23 2008 Two results on centralisers of nilpotent elements. Zbl 1137.17017Panyushev, Dmitri I. 9 2008 The PRV-formula for tensor product decompositions and its applications. Zbl 1213.17008Panyushev, D. I.; Yakimova, O. S. 2 2008 Adjoint vector fields and differential operators on representation spaces. Zbl 1158.14040Panyushev, Dmitri I. 1 2008 On symmetric invariants of centralisers in reductive Lie algebras. Zbl 1163.17012Panyushev, D.; Premet, A.; Yakimova, O. 34 2007 On the coadjoint representation of \(\mathbb Z_2\)-contractions of reductive Lie algebras. Zbl 1177.17010Panyushev, Dmitri I. 21 2007 Semi-direct products of Lie algebras and their invariants. Zbl 1151.14036Panyushev, Dmitri I. 14 2007 Symmetric pairs and associated commuting varieties. Zbl 1126.17010Panyushev, Dmitri; Yakimova, Oksana 8 2007 The poset of positive roots and its relatives. Zbl 1091.17008Panyushev, Dmitri I. 5 2006 Normalizers of ad-nilpotent ideals. Zbl 1091.17007Panyushev, Dmitri I. 5 2006 The index of representations associated with stabilisers. Zbl 1153.17004Panyushev, Dmitri I.; Yakimova, Oksana S. 3 2006 On invariant theory of \(\theta\)-groups. Zbl 1071.17005Panyushev, Dmitri I. 15 2005 An extension of Raïs’ theorem and seaweed subalgebras of simple Lie algebras. Zbl 1151.17305Panyushev, Dmitri I. 10 2005 Ideals of Heisenberg type and minimax elements of affine Weyl groups. Zbl 1086.17005Panyushev, Dmitri I. 3 2005 On spherical ideals of Borel subalgebras. Zbl 1076.14061Panyushev, Dmitri; Röhrle, Gerhard 2 2005 ad-nilpotent ideals of a Borel subalgebra: generators and duality. Zbl 1067.17005Panyushev, Dmitri I. 24 2004 Short antichains in root systems, semi-Catalan arrangements, and \(B\)-stable subspaces. Zbl 1171.17301Panyushev, Dmitri I. 6 2004 Long Abelian ideals. Zbl 1052.17002Panyushev, Dmitri I. 5 2004 Weight multiplicity free representations, \(\mathfrak g\)-endomorphism algebras, and Dynkin polynomials. Zbl 1052.17001Panyushev, Dimitri I. 4 2004 On reachable elements and the boundary of nilpotent orbits in simple Lie algebras. Zbl 1072.14068Panyushev, Dmitri I. 3 2004 On the irreducibility of commuting varieties associated with involutions of simple Lie algebras. Zbl 1125.17001Panyushev, D. I. 3 2004 The index of a Lie algebra, the centralizer of a nilpotent element, and the normalizer of the centralizer. Zbl 1041.17022Panyushev, Dmitri I. 19 2003 Abelian ideals of a Borel subalgebra and long positive roots. Zbl 1067.17004Panyushev, Dmitri I. 18 2003 Some amazing properties of spherical nilpotent orbits. Zbl 1101.17012Panyushev, Dmitri I. 16 2003 On covariants of reductive algebraic groups. Zbl 1040.20037Panyushev, Dmitri I. 3 2002 Multiplicities in the branching rules and the complexity of homogeneous spaces. Zbl 1052.14050Akhiezer, Dmitri; Panyushev, Dmitri 3 2002 Inductive formulas for the index of seaweed Lie algebras. Zbl 0998.17008Panyushev, Dmitri I. 26 2001 Spherical orbits and Abelian ideals. Zbl 0993.22016Panyushev, Dmitri; Röhrle, Gerhard 23 2001 Isotropy representations, eigenvalues of a Casimir element, and commutative Lie subalgebras. Zbl 1012.17005Panyushev, Dmitri I. 13 2001 The exterior algebra and “spin” of an orthogonal \({\mathfrak g}\)-module. Zbl 0994.17004Panyushev, Dmitri I. 8 2001 A classification of the principal nilpotent pairs in simple Lie algebras and related problems. Zbl 1011.17009Elashvili, Alexander G.; Panyushev, Dmitri I. 6 2001 Nilpotent pairs, dual pairs, and sheets. Zbl 1136.17303Panyushev, Dmitri I. 6 2001 Nilpotent pairs in semisimple Lie algebras and their characteristics. Zbl 0954.17007Panyushev, Dmitri I. 6 2000 On spherical nilpotent orbits and beyond. Zbl 0944.17013Panyushev, Dmitri I. 19 1999 On the conormal bundle of a \(G\)-stable subvariety. Zbl 0961.14030Panyushev, Dmitri I. 10 1999 Parabolic subgroups with Abelian unipotent radical as a testing site for invariant theory. Zbl 0955.20028Panyushev, Dmitri I. 7 1999 Complexity and rank of actions in invariant theory. Zbl 0996.14022Panyushev, D. I. 6 1999 On actions of a maximal torus on orbits of highest weight vectors. Zbl 0937.20023Panyushev, Dmitri I. 4 1999 An infinitesimal characterization of the complexity of homogeneous spaces. Zbl 0940.14037Panyushev, D. I.; Vinberg, E. B. 1 1999 Cones of highest weight vectors, weight polytopes, and Lusztig’s \(q\)-analog. Zbl 0891.22013Panyushev, D. 4 1997 On deformation method in invariant theory. Zbl 0878.14008Panyushev, Dmitri 4 1997 A restriction theorem and the Poincaré series for \(U\)-invariants. Zbl 0820.14033Panyushev, Dmitri I. 10 1995 On homogeneous spaces of rank one. Zbl 0838.53041Panyushev, Dmitri 5 1995 Reductive group actions on affine varieties and their doubling. Zbl 0831.14022Panyushev, Dmitri I. 3 1995 Good properties of algebras of invariants and defect of linear representations. Zbl 0845.14008Panyushev, Dmitri 3 1995 Complexity and nilpotent orbits. Zbl 0822.14024Panyushev, Dimitrii I. 36 1994 The Jacobian modules of a representation of a Lie algebra and geometry of commuting varieties. Zbl 0834.17003Panyushev, Dmitrij I. 13 1994 On Poisson pairs associated to modified \(R\)-matrices. Zbl 0824.58022Gurevich, Dmitrii; Panyushev, Dmitri I. 8 1994 Multiplicities of weights of some representations and convex polytope. Zbl 0866.22015Panyushev, D. I. 2 1994 Complexity and rank of double cones and tensor product decompositions. Zbl 0804.14024Panyushev, D. I. 10 1993 On semisimple groups admitting a finite coregular extension. Zbl 0830.14018Panyushev, D. I. 3 1993 Complexity of quasiaffine homogeneous varieties, \(t\)-decompositions, and affine homogeneous spaces of complexity 1. Zbl 0763.14024Panyushev, D. I. 7 1992 Rationality of singularities and the Gorenstein property for nilpotent orbits. Zbl 0749.14030Panyushev, D. I. 24 1991 Complexity and rank of homogeneous spaces. Zbl 0706.14032Panyushev, D. I. 17 1990 The structure of the canonical module and the Gorenstein property for some quasihomogeneous varieties. Zbl 0681.14029Panyushev, D. I. 1 1990 Construction of the canonical module and the Gorenstein property for some quasihomogeneous varieties. Zbl 0658.14024Panyushev, D. I. 4 1988 Orbits of maximal dimension of solvable subgroups of reductive linear groups, and reduction for U-invariants. Zbl 0663.20044Panyushev, D. I. 3 1988 Orbits of largest dimension of solvable subgroups of reductive linear groups and reduction for U-invariants. Zbl 0628.20034Panyushev, D. I. 3 1987 Regular elements in spaces of linear representations. II. Zbl 0618.20029Panyushev, D. I. 2 1986 Regular elements in spaces of linear representations of reductive algebraic groups. Zbl 0557.20026Panyushev, D. I. 3 1985 Semisimple automorphism groups of four-dimensional affine space. Zbl 0581.14033Panyushev, D. I. 1 1984 On orbit spaces of finite and connected linear groups. Zbl 0517.20019Panyushev, D. I. 6 1983 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year Wikidata Timeline