On unipotent and nilpotent pieces for classical groups.

DOI10.1016/j.jalgebra.2011.10.009zbMath1250.20036arXiv0912.3820OpenAlexW2964234902MaRDI QIDQ420679

Ting Xue

Publication date: 23 May 2012

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.3820

zbMATH Keywords

nilpotent orbitscharacteristic 2Springer correspondencenilpotent piecesunipotent classesunipotent pieces

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Coadjoint orbits; nilpotent varieties (17B08)

Related Items (4)

Pieces of nilpotent cones for classical groups ⋮ From conjugacy classes in the Weyl group to unipotent classes, II ⋮ Nilpotent coadjoint orbits in small characteristic ⋮ On total Springer representations for the symplectic Lie algebra in characteristic 2 and the exotic case

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Combinatorics of the Springer correspondence for classical Lie algebras and their duals in characteristic 2
• Unipotent elements in small characteristic. III. (With an appendix with T. Xue).
• Intersection cohomology complexes on a reductive group
• Unipotent elements in small characteristic.
• Unipotent elements in small characteristic. II.
• Nilpotent classes and sheets of Lie algebras in bad characteristic
• Classes unipotentes et sous-groupes de Borel
• Trigonometric sums, Green functions of finite groups and representations of Weyl groups
• Nilpotency in classical groups over a field of characteristic 2
• Notes on unipotent classes
• From conjugacy classes in the Weyl group to unipotent classes
• Pieces of nilpotent cones for classical groups
• Nilpotent orbits in classical Lie algebras over finite fields of characteristic 2 and the Springer correspondence
• Remarks on Springer’s representations

This page was built for publication: On unipotent and nilpotent pieces for classical groups.