The eigenvalue 1 of matrices of complex representations of finite Chevalley groups

zbMath0742.20017MaRDI QIDQ1814513

Alexander E. Zalesskij

Publication date: 25 June 1992

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

eigenvaluesChevalley groupunipotent elementscomplex representationmaximal torussemisimple elementSteinberg representation

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Simple groups: alternating groups and groups of Lie type (20D06) Representations of finite groups of Lie type (20C33)

Related Items (6)

Unisingular representations of finite symplectic groups ⋮ On permutation characters and Sylow \(p\)-subgroups of \(\mathfrak{S}_n\) ⋮ Hall-Higman type theorems for exceptional groups of Lie type. I ⋮ Unisingular representations in arithmetic and Lie theory ⋮ Minimum polynomials of the elements of prime order in representations of quasi-simple groups. ⋮ Minimum polynomials and lower bounds for eigenvalue multiplicities of prime-power order elements in representations of classical groups

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