Jordan decomposition and real-valued characters of finite reductive groups with connected center

DOI10.1112/blms/bdv020zbMath1317.20009arXiv1408.1910OpenAlexW3104896677MaRDI QIDQ5255534

C. Ryan Vinroot, Bhama Srinivasan

Publication date: 15 June 2015

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.1910

zbMATH Keywords

character degreesconnected reductive groupsfinite reductive groupsJordan decompositionsreal-valued irreducible complex characters

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Representations of finite groups of Lie type (20C33)

Related Items (3)

Morita equivalence classes of tame blocks of finite groups ⋮ Galois group action and Jordan decomposition of characters of finite reductive groups with connected center ⋮ A computational approach to the Frobenius–Schur indicators of finite exceptional groups

Cites Work

• Computational proof of the Mackey formula for \(q>2\).
• Representations of reductive groups over finite fields
• Equivariance and extendibility in finite reductive groups with connected center.
• Towards a Jordan decomposition of blocks of finite reductive groups.
• Real class sizes and real character degrees
• Characters of Reductive Groups over a Finite Field. (AM-107)
• Rational irreducible characters and rational conjugacy classes in finite groups
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