On Richardson classes of unipotent elements in semisimple algebraic groups

DOI10.3792/pjaa.57.367zbMath0503.20015OpenAlexW2088727123MaRDI QIDQ1173155

Takeshi Hirai

Publication date: 1981

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.57.367

zbMATH Keywords

parabolic subgroupsunipotent radicalunipotent classconnected semisimple algebraic groupRichardson class

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Semisimple Lie groups and their representations (22E46) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Related Items

Extremal contractions, stratified Mukai flops and Springer maps ⋮ Support varieties for Weyl modules over bad primes. ⋮ Nonzero infinitesimal blocks of category \({\mathcal{O}}_{S}\) ⋮ Algebraic groups ⋮ Varieties of nilpotent elements for simple Lie algebras. I: Good primes. ⋮ On the realization of orbit closures as support varieties ⋮ On the inducing of unipotent classes for semisimple algebraic groups. I: Case of exceptional type ⋮ On semisimple Lie algebras over algebraically closed fields

Cites Work

• Unnamed Item
• Unnamed Item
• The conjugate classes of unipotent elements of the Chevalley groups \(E_ 7\) and \(E_ 8\).
• Polarizations in the classical groups
• A specialization theorem for certain Weyl group representations and an application to the Green polynomials of unitary groups
• Semisimple subalgebras of semisimple Lie algebras
• Conjugacy Classes in Parabolic Subgroups of Semisimple Algebraic Groups, II
• Induced Unipotent Classes