Admissible 𝑊-graphs

DOI10.1090/S1088-4165-08-00336-1zbMath1195.20043OpenAlexW1999149875MaRDI QIDQ3614517

John R. Stembridge

Publication date: 9 March 2009

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1088-4165-08-00336-1

zbMATH Keywords

Kazhdan-Lusztig basesfinite Coxeter groups\(W\)-graphscellsIwahori-Hecke algebras

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Ordinary representations and characters (20C15) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (12)

Gelfand \(W\)-graphs for classical Weyl groups ⋮ W-graph ideals. II. ⋮ Two-row \(W\)-graphs in affine type \(A\) ⋮ Perfect models and Gelfand W-graphs ⋮ Type \(A\) molecules are Kazhdan-Lusztig ⋮ Quasiparabolic sets and Stanley symmetric functions for affine fixed-point-free involutions ⋮ Noncommutative Schur functions, switchboards, and Schur positivity ⋮ Admissible \(W\)-graphs and commuting Cartan matrices ⋮ Bar operators for quasiparabolic conjugacy classes in a Coxeter group. ⋮ Type \(A\) admissible cells are Kazhdan-Lusztig ⋮ A finiteness theorem for W-graphs ⋮ -GRAPHS AND GYOJA’S -GRAPH ALGEBRA

Cites Work

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• On the existence of a W-graph for an irreducible representation of a Coxeter group
• Singularities of closures of K-orbits on flag manifolds
• Representations of Coxeter groups and Hecke algebras
• On the structure of Kazhdan-Lusztig cells for branched Dynkin diagrams
• Cells of Harish-Chandra modules for real classical groups

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