The principal representations of reductive algebraic groups with Frobenius maps

DOI10.1016/j.jalgebra.2021.10.018OpenAlexW3209975571MaRDI QIDQ2664504

Junbin Dong

Publication date: 17 November 2021

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

Full work available at URL: https://arxiv.org/abs/1907.03271

zbMATH Keywords

highest weight categoryquiver algebraprincipal representation

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07)

Related Items (2)

Certain complex representations of \(S L_2( \bar{\mathbb{F}}_q)\) ⋮ The principal representation category of infinite reductive groups is not a highest weight category

Cites Work

• Some infinite dimensional representations of reductive groups with Frobenius maps.
• Homomorphismes abstraits de groupes algébriques simples
• The decomposition of permutation module for infinite Chevalley groups
• On the representation type of one point extensions of tame concealed algebras
• Alvis-Curtis duality for representations of reductive groups with Frobenius maps
• The permutation module on flag varieties in cross characteristic
• Algebras and Quadratic Forms
• Group Algebras Whose Simple Modules are Injective
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