scientific article; zbMATH DE number 2168574

zbMath1124.20003arXivmath/0404510MaRDI QIDQ4674807

Meinolf Geck

Publication date: 18 May 2005

Full work available at URL: https://arxiv.org/abs/math/0404510

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Hecke algebrasfinite Coxeter groupsleft cellsconstructible representations

Mathematics Subject Classification ID

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

Related Items (8)

Cuspidal Calogero-Moser and Lusztig families for Coxeter groups ⋮ Hecke algebras of finite type are cellular. ⋮ Conjugacy classes of involutions and Kazhdan–Lusztig cells ⋮ How to compute the Frobenius-Schur indicator of a unipotent character of a finite Coxeter system. ⋮ On Calogero-Moser cellular characters for imprimitive complex reflection groups ⋮ On Domino Insertion and Kazhdan–Lusztig Cells in Type B n ⋮ Module structure of cells in unequal-parameter Hecke algebras ⋮ Erratum to “Left cells and constructible representations”

Uses Software

• CHEVIE

Cites Work

• Computing Kazhdan-Lusztig cells for unequal parameters.
• Primitive ideals and orbital integrals in complex exceptional groups
• On a theorem of Benson and Curtis
• Representations of Coxeter groups and Hecke algebras
• Induction and restriction of Kazhdan-Lusztig cells
• On the decomposition numbers of the Hecke algebra of \(G(m,1,n)\)
• The left cells of the Coxeter group of type \(H_ 4\)
• Families of characters of cyclotomic Hecke algebras.
• Constructible characters and canonical bases
• CHEVIE -- A system for computing and processing generic character tables
• Cells and modular representations of Hecke algebras
• Characters of Reductive Groups over a Finite Field. (AM-107)
• The representations and generic degrees of the Hecke algeba of type H4.
• ON THE INDUCTION OF KAZHDAN–LUSZTIG CELLS
• Hecke Algebras with Unequal Parameters
• Left cells in type 𝐵_{𝑛} with unequal parameters
• Hecke Algebras of Type B_n at Roots of Unity
• Familles et blocs d'algèbres de Hecke
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