The generic degrees of the irreducible characters of e8

DOI10.1080/00927877908822397zbMath0416.20040OpenAlexW2011949150MaRDI QIDQ3205430

Clark T. Benson

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1080/00927877908822397

zbMATH Keywords

Weyl groupBorel subgroupfinite Chevalley groupgeneric degrees of irreducible characters

Mathematics Subject Classification ID

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

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Representations of finite groups ⋮ Representations of finite groups of Lie type ⋮ On the unipotent characters of the exceptional groups over finite fields ⋮ Reflection compound representations of groups of type A//n,B//n or \(C_ n\). ⋮ Degree and valuation of the Schur elements of cyclotomic Hecke algebras. ⋮ Principal series components of the gelfand characters of a finite group with a split (bn)-pair of characteristic p ⋮ Principal series representation of finite groups with split bn pairs∗ ⋮ Primitive ideals and orbital integrals in complex exceptional groups

Cites Work

• Semilinear automorphisms and dimension functions for certain characters of finite Chevalley groups
• Coxeter orbits and eigenspaces of Frobenius
• On dimension functions of the generic algebra of type \(D_n\)
• Reduction theorems for characters of finite groups of Lie type
• On the theorem of Feit-Higman
• The nonexistence of certain generalized polygons
• On the Steinberg characters of finite Chevalley groups
• Hecke algebras and characters of parabolic type of finite groups with (B, N)-pairs
• The classes and representations of the groups of 27 lines and 28 bitangents