The permutation module on flag varieties in cross characteristic

DOI10.1007/s00209-018-2197-8zbMath1477.20082arXiv1707.02592OpenAlexW2903024340MaRDI QIDQ2272958

Junbin Dong, Xiao-yu Chen

Publication date: 17 September 2019

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.02592

zbMATH Keywords

reductive groupinduced moduleSteinberg moduleabstract representation

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Grassmannians, Schubert varieties, flag manifolds (14M15)

Related Items

The decomposition of permutation module for infinite Chevalley groups, The principal representations of reductive algebraic groups with Frobenius maps, Alvis-Curtis duality for representations of reductive groups with Frobenius maps, Certain complex representations of \(S L_2( \bar{\mathbb{F}}_q)\)

Cites Work

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• Representations of reductive groups over finite fields
• Loewy series for principal series representations of finite Chevalley groups
• Irreducibility of infinite dimensional Steinberg modules of reductive groups with Frobenius maps
• Characters of Reductive Groups over a Finite Field. (AM-107)
• Filtrierungen Der Darstellungen in Der Hauptserie Endlicher Chevalley-Gruppen