A formula for the characteristic function of the unipotent set of a finite Chevalley group

DOI10.1016/0021-8693(80)90190-8zbMath0425.20040OpenAlexW1970625458MaRDI QIDQ1135365

T. A. Springer

Publication date: 1980

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

Full work available at URL: https://dspace.library.uu.nl/handle/1874/24694

zbMATH Keywords

characteristic functionBorel subgroupunipotent radicalparabolic subgroupgroup of k-rational pointsa linear algebraic groupsemisimple k-rank

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05)

Related Items

Representations of finite groups, The Steinberg function of a finite Lie algebra, Duality and character values of finite groups of Lie type, The duality operation in the character ring of a finite Chevalley group

Cites Work

• The fixed point subvarieties of unipotent transformations on generalized flag varieties and the Green functions. Combinatorial and cohomological treatments centering \(GL_ n\).
• Unipotent elements and characters of finite Chevalley groups
• A theorem on the fixed point set of a unipotent transformation of the flag manifold
• Groupes reductifs
• Endomorphisms of linear algebraic groups
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