A criterion for a triple (x,I,μ) to be a w-graph of a coxeter group

DOI10.1080/00927878808823679zbMath0647.20050OpenAlexW2162798008MaRDI QIDQ3791354

André Heck

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1080/00927878808823679

zbMATH Keywords

symmetric groupsCoxeter groupHecke algebraW-graphcrystallographicpositive symmetric W-graph

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Other geometric groups, including crystallographic groups (20H15)

Cites Work

• On the existence of a W-graph for an irreducible representation of a Coxeter group
• W-graphs of representations of symmetric groups
• Representations of Coxeter groups and Hecke algebras

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