Shintani descent for algebraic groups over a finite field. I

DOI10.1016/0021-8693(92)90113-ZzbMath0744.20039MaRDI QIDQ1183313

Toshiaki Shoji

Publication date: 28 June 1992

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

zbMATH Keywords

algebraic groupsFrobenius morphismreductive groupsCampbell-Hausdorff formulaspace of class functionsShintani descentmaximal unipotent subgrouplifting of charactersrelative liftingrelative Shintani descent map

Mathematics Subject Classification ID

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

Related Items (6)

Unnamed Item ⋮ Twisting operators and centralisers of Lie type groups over local rings ⋮ Shintani descent for special linear groups ⋮ Character sheaves on neutrally solvable groups ⋮ Shintani descent for algebraic groups and almost characters of unipotent groups ⋮ Opérateur de torsion dans $SL_n(q)$ et $SU_n(q)$

Cites Work

• Liftings of irreducible characters of finite reductive groups
• On the irreducible characters of the finite unitary groups
• Proof of Springer's hypothesis
• Characters of Reductive Groups over a Finite Field. (AM-107)
• The unipotent class functions of exceptional groups over finite fields
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