Projective characters for finite Chevalley groups

DOI10.1016/0021-8693(81)90209-XzbMath0455.20028MaRDI QIDQ1150043

Leonard Chastkofsky

Publication date: 1981

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

zbMATH Keywords

Chevalley groupsemisimple simply connected algebraic groupcharacters of projective indecomposable modules

Mathematics Subject Classification ID

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

Related Items

ON THE FIRST CARTAN INVARIANT FOR THE FINITE GROUP OF TYPE, Projective modules for Sp(4,p) in characteristic p, Representations of finite groups, Loewy series for principal series representations of finite Chevalley groups, Generic Cartan invariants for Frobenius kernels and Chevalley groups, On the first cartan invariant for finite groups of lie type, Ordinary and modular characters of \(\mathrm{SU}(3,p)\)., A tensor product of the Steinberg module and a certain simplekG(p^r)-module, On the first Cartan invariant of the groupSp(4,p n ), On the Brauer complex of a finite group of Lie type, Tensoring generalized characters with the Steinberg character, IRREDUCIBLE CHARACTERS FOR ALGEBRAIC GROUPS IN CHARACTERISTIC THREE, On the Cartan invariants of a Chevalley group over \(GF(p^ n)\), Decomposition numbers of Chevalley groups, The \(\text{GL}_n(q)\)-module structure of the symmetric algebra around the Steinberg module., Stability of decomposition numbers for finite Chevalley groups, Variations on Hulsurkar's matrix with applications to representations of algebraic Chevalley groups, Reduction modulo \(p\) of some Deligne-Lusztig characters

Cites Work

• Zur Reduktion modulo p der Charaktere von Deligne und Lusztig
• Proof of Verma's conjecture on Weyl's dimension polynomial
• Über das Dekompositionsverhalten gewisser modularer Darstellungen halbeinfacher Gruppen und ihrer Lie-Algebren
• Projective Modules for Finite Chevalley Groups
• Darstellungen halbeinfacher Gruppen und ihrer Frobenius-Kerne.
• Representations of Chevalley Groups in Characteristic p
• Projective modules for finite Chevalley groups
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