Spherical orbits and Abelian ideals

DOI10.1006/aima.2000.1959zbMath0993.22016OpenAlexW2123421976MaRDI QIDQ5936911

Dmitri I. Panyushev, Gerhard Röhrle

Publication date: 17 September 2002

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/75af2850f107dd141aedf0c9d0d6332cf58a747a

zbMATH Keywords

idealreductive groupnilpotent elementspherical orbit

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Lie algebras of linear algebraic groups (17B45) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items

Normalizers of ad-nilpotent ideals, Faces and maximizer subsets of highest weight modules, Long Abelian ideals, Abelian ideals of Borel subalgebras and affine Weyl groups, On the orbits of a Borel subgroup in abelian ideals, Fully commutative elements and spherical nilpotent orbits, On commutative polarizations., On ad-nilpotent \(b\)-ideals for orthogonal Lie algebras, Oriented tree diagram Lie algebras and their abelian ideals, Abelian ideals of a Borel subalgebra and root systems. II, On the structure of Borel stable abelian subalgebras in infinitesimal symmetric spaces, ABELIAN IDEALS IN A COMPLEX SIMPLE LIE ALGEBRA, The Bruhat order on abelian ideals of Borel subalgebras, Abelian ideals of a Borel subalgebra and root systems, Casimir elements associated with Levi subalgebras of simple Lie algebras and their applications, The poset of positive roots and its relatives, Abelian ideals and cohomology of symplectic type, Non-linear maps preserving ideals on a parabolic subalgebra of a simple algebra, Nonlinear Maps on a Borel Subalgebra Preserving Ad-Nilpotent Ideals, Abelian ideals of a Borel subalgebra and subsets of the Dynkin diagram, Nilpotent orbits of height 2 and involutions in the affine Weyl group, Abelian Ideals with Given Dimension in Borel Subalgebras, Ad-nilpotent ideals of a Borel subalgebra. II., Abelian subalgebras on Lie algebras

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