IrreducibleW-Graphs for TypeD4andD5

DOI10.1080/00927870500387762zbMath1100.20011OpenAlexW2048040382MaRDI QIDQ5470015

Yunchuan Yin

Publication date: 29 May 2006

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

Full work available at URL: https://doi.org/10.1080/00927870500387762

zbMATH Keywords

Hecke algebrasfinite Coxeter groupsirreducible representationscharacter tables\(W\)-graphs

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (2)

Computational construction of irreducible \(W\)-graphs for types \(E_6\) and \(E_7\). ⋮ INDUCING W-GRAPHS FOR SYMMETRIC GROUPS

Cites Work

• Representations of Coxeter groups and Hecke algebras
• Some characterizations of Bruhat ordering on a Coxeter group and determination of the relation Möbius function
• Parabolic generalization of Kazhdan-Lusztig polynomials and bases
• \(J\)-chains and multichains, duality of Hecke modules, and formulas for parabolic Kazhdan-Lusztig polynomials
• The classes and representations of the groups of 27 lines and 28 bitangents
• An inversion formula for relative kazhdan—lusztig polynomials
• ON THE INDUCTION OF KAZHDAN–LUSZTIG CELLS

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