Variations on Hulsurkar's matrix with applications to representations of algebraic Chevalley groups

DOI10.1016/0021-8693(83)90183-7zbMath0532.20023OpenAlexW2081375622MaRDI QIDQ788838

Leonard Chastkofsky

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0021-8693(83)90183-7

zbMATH Keywords

Weyl groupring of invariantsgroup ringroot latticedominant weightsindecomposable root systemdecompositons of Weyl modulessemi-simple simply connected algebraic groupweight lattice

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05)

Related Items (3)

Filtration patterns for representations of algebraic groups and their Frobenius kernels ⋮ Generic Cartan invariants for Chevalley groups ⋮ On the Cartan invariants of a Chevalley group over \(GF(p^ n)\)

Cites Work

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• Hecke algebras and Jantzen's generic decomposition patterns
• Projective characters for finite Chevalley groups
• 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
• The strong linkage principle.
• Darstellungen halbeinfacher Gruppen und ihrer Frobenius-Kerne.
• Darstellungen halbeinfacher Gruppen und kontravariante Formen.
• Introduction to Lie Algebras and Representation Theory

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