scientific article; zbMATH DE number 1201813

zbMath0901.20004MaRDI QIDQ4210558

Meinolf Geck

Publication date: 22 September 1998

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

zbMATH Keywords

finite Weyl groupsdecomposition matricesgeneric Iwahori-Hecke algebras

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (19)

On the modular representations of Hecke algebras of type \(D_n\). ⋮ James' conjecture for Hecke algebras of exceptional type. I. ⋮ Hecke algebras of finite type are cellular. ⋮ The many integral graded cellular bases of Hecke algebras of complex reflection groups ⋮ Canonical basic sets in type \(B_n\). ⋮ Generalised canonical basic sets for Ariki-Koike algebras ⋮ Crystal graphs of higher level \(q\)-deformed Fock spaces, Lusztig \(a\)-values and Ariki-Koike algebras ⋮ Brauer trees of unipotent blocks ⋮ Constructible representations and basic sets in type \(B\). ⋮ On the irreducible representations of the specializations in characteristics \(2\) and \(3\) of the generic Hecke algebra of type \(F_4\) ⋮ Unnamed Item ⋮ Rouquier blocks in Chevalley groups of type \(E\). ⋮ Reflection Groups ⋮ Relative Kazhdan–Lusztig cells ⋮ On the subregular \(J\)-rings of Coxeter systems ⋮ Subregular \(J\)-rings of Coxeter systems via quiver path algebras ⋮ SCHUR ELEMENTS AND BASIC SETS FOR CYCLOTOMIC HECKE ALGEBRAS ⋮ An analogue of row removal for diagrammatic Cherednik algebras ⋮ On simple modules of Hecke algebras of type \(D_n\)

Cites Work

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• Brauer trees in classical groups
• On a theorem of Benson and Curtis
• Representations of Coxeter groups and Hecke algebras
• Modular representation theory over a ring of higher dimension with applications to Hecke algebras
• Hecke algebras at roots of unity and crystal bases of quantum affine algebras
• Cells and modular representations of Hecke algebras
• Characters of Reductive Groups over a Finite Field. (AM-107)
• Representations of Hecke Algebras of General Linear Groups
• Brauer trees of hecke algebras
• On Lusztig's Isomorphism Theorems for Hecke Algebras and Representation Theory
• Hecke Algebras of Type B_n at Roots of Unity
• On the Degrees and Rationality of Certain Characters of Finite Chevalley Groups

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