Principal series components of the gelfand characters of a finite group with a split (bn)-pair of characteristic p

DOI10.1080/00927878908823847zbMath0733.20020OpenAlexW1994471550MaRDI QIDQ3360381

Robert W. Kilmoyer

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1080/00927878908823847

zbMATH Keywords

Weyl groupirreducible charactersinduced charactersfinite groupdegreesregular characteralternating characterGelfand characterGelfand componentsplit (BN)-pair

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Groups with a (BN)-pair; buildings (20E42)

Related Items

Modular Harish-Chandra theory. II

Cites Work

• Truncation and duality in the character ring of a finite group of Lie type
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• Some irreducible characters of groups with BN pairs
• On dimension functions of the generic algebra of type \(D_n\)
• Principal series representations of finite Chevalley groups
• Finite groups with a split BN-pair of rank 1. I
• Hecke algebras and characters of parabolic type of finite groups with (B, N)-pairs
• The generic degrees of the irreducible characters of e₈
• Principal series representation of finite groups with split bn pairs∗
• The duality operation in the character ring of a finite Chevalley group
• The Symmetric Square and Generic Algebras of Chevalley Groups
• Representations of a subalgebra of the generic algebra corresponding to the weyl group of typeF₄