On the Cartan invariants of a Chevalley group over \(GF(p^ n)\)

DOI10.1016/S0021-8693(05)80038-9zbMath0787.20009MaRDI QIDQ1204542

Leonard Chastkofsky

Publication date: 29 March 1993

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

zbMATH Keywords

Cartan invariantsDynkin diagramprojective coverdominant weightsweight latticeprincipal indecomposable characterssemisimple, simply connected algebraic groupirreducible \(G_ \tau\)-module

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20)

Related Items (4)

On the first Cartan invariant of the groupSp(4,p n ) ⋮ Decomposition numbers of Chevalley groups ⋮ Decomposition numbers of \(\text{SL}_3(p^n)\) and \(\text{SU}_3(p^n)\) ⋮ Stability of decomposition numbers for finite Chevalley groups

Cites Work

• On the first Cartan invariants in characteristic 2 of the groups \(SL_ 3(2^ m)\) and \(SU_ 3(2^ m)\)
• Variations on Hulsurkar's matrix with applications to representations of algebraic Chevalley groups
• On the projective characters in characteristic 2 of the groups \(SL_3(2^m)\) and \(SU_3(2^m)\)
• Projective characters for finite Chevalley groups
• Introduction to Lie Algebras and Representation Theory
• Unnamed Item

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