Cells and the Reflection Representation of Weyl Groups and Hecke Algebras

DOI10.2307/2001244zbMath0694.20024OpenAlexW4247893477MaRDI QIDQ3469283

J. Matthew Douglass

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2001244

zbMATH Keywords

Weyl groupsKazhdan-Lusztig polynomialslength functionHecke algebramatrix entriesreflection representationfinite crystallographic Coxeter system

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05)

Related Items (3)

2-representations of small quotients of Soergel bimodules in infinite types ⋮ Finite-dimensional representations of minimal nilpotent W-algebras and zigzag algebras ⋮ Simple transitive 2-representations of small quotients of Soergel bimodules

Cites Work

• Reflection representations of Hecke algebras of certain Weyl groups
• On a theorem of Benson and Curtis
• Unipotent characters of the symplectic and odd orthogonal groups over a finite field
• Representations of Coxeter groups and Hecke algebras
• Some characterizations of Bruhat ordering on a Coxeter group and determination of the relation Möbius function
• Hecke algebras and characters of parabolic type of finite groups with (B, N)-pairs
• Characters of Reductive Groups over a Finite Field. (AM-107)
• On Matrix Coefficients of the Reflection Representation
• Kazhdan-Lusztig Polynomials for Hermitian Symmetric Spaces

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