Weight zero in tensor-decomposable irreducible representations of simple algebraic groups

DOI10.1016/j.jpaa.2021.106768OpenAlexW3164286398MaRDI QIDQ2040519

Alexander E. Zalesskij, A. A. Baranov

Publication date: 14 July 2021

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.05012

zbMATH Keywords

simple algebraic groupmodular representationsweight 0

Mathematics Subject Classification ID

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

Related Items (2)

Unisingular representations of finite symplectic groups ⋮ Upper bounds for eigenvalue multiplicities of almost cyclic elements in irreducible representations of simple algebraic groups

Cites Work

• On eigenvalues of group elements in representations of simple algebraic groups and finite Chevalley groups.
• The partial order of dominant weights
• Lectures on Chevalley Groups
• The maximal subgroups of classical algebraic groups
• WEIGHTS OF INFINITESIMALLY IRREDUCIBLE REPRESENTATIONS OF CHEVALLEY GROUPS OVER A FIELD OF PRIME CHARACTERISTIC
• FIXED VECTORS FOR ELEMENTS IN MODULES FOR ALGEBRAIC GROUPS
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