Principal series representations of finite Chevalley groups

DOI10.1016/0021-8693(78)90149-7zbMath0389.20008OpenAlexW1981523001MaRDI QIDQ1250871

Robert W. Kilmoyer

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0021-8693(78)90149-7

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Representations of finite symmetric groups (20C30)

Related Items

A NEW ALGEBRA FROM THE REPRESENTATION THEORY OF FINITE GROUPS, Representations of finite groups, Representations of finite groups of Lie type, Truncation and duality in the character ring of a finite group of Lie type, Induced cuspidal representations and generalised Hecke rings, Multiplicities of principal series representations of finite groups with split (B,N)-pairs, The reflection representations of some Chevalley groups, On the representation theory of modular Hecke algebras, Principal series components of the gelfand characters of a finite group with a split (bn)-pair of characteristic p, Irreducible representations of finite classical groups, Affine Hecke Algebras and Their Graded Version, Principal series representation of finite groups with split bn pairs∗, On the new generators of the Hecke algebra \({\mathcal H}(G,U,\mathbf{1})\), A note on free bosonic vertex algebra and its conformal vectors

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Semilinear automorphisms and dimension functions for certain characters of finite Chevalley groups
• Some irreducible characters of groups with BN pairs
• The Steinberg character of a finite group with a \((B,N)\)-pair
• Characters and centers of symmetric algebras
• On the Steinberg characters of finite Chevalley groups
• Hecke algebras and characters of parabolic type of finite groups with (B, N)-pairs
• Sur certains groupes simples
• Lectures on Chevalley Groups
• The Symmetric Square and Generic Algebras of Chevalley Groups
• Corrections and Additions to "On the Degrees and Rationality of Certain Characters of Finite Chevalley Groups"
• Modular Representations of Finite Groups of Lie Type
• ON THE DEGREES OF CERTAIN GROUP CHARACTERS
• A Class of Irreducible Characters for Certain Classical Groups
• On the Degrees and Rationality of Certain Characters of Finite Chevalley Groups
• Invariant theory, tensors and group characters