On problems concerning the Bruhat decomposition and structure constants of Hecke algebras of finite Chevalley groups

DOI10.1307/mmj/1242071689zbMath1241.20004OpenAlexW2068022344MaRDI QIDQ1024876

Charles W. Curtis

Publication date: 17 June 2009

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1242071689

zbMATH Keywords

Weyl groupsdouble cosetsfinite Coxeter groupsroot systemsBorel subgroupsIwahori-Hecke algebrasBruhat decompositionsfinite Chevalley groups

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Linear algebraic groups over finite fields (20G40) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (3)

On refined Bruhat decompositions and endomorphism algebras of Gelfand-Graev representations ⋮ On refinements of the Bruhat decomposition ⋮ On the irreducible components of a Gelfand-graev representation of a finite Chevalley group

Cites Work

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• On some geometric aspects of Bruhat orderings. I: A finer decomposition of Bruhat cells
• Representations of Coxeter groups and Hecke algebras
• Unipotent elements and characters of finite Chevalley groups
• Representations of reductive groups over finite fields
• On the Gelfand-Graev representations of a reductive group over a finite field
• Complements à l'article: Groupes reductifs
• Sur certains groupes simples
• A Further Refinement of the Bruhat Decomposition
• Decomposition of gelfand-graev characters of gl₃(q)

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