James' conjecture for Hecke algebras of exceptional type. I.

DOI10.1016/j.jalgebra.2008.10.024zbMath1213.20005arXiv0712.1620OpenAlexW2131886593WikidataQ123270104 ScholiaQ123270104MaRDI QIDQ834833

Jürgen Müller, Meinolf Geck

Publication date: 27 August 2009

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

Full work available at URL: https://arxiv.org/abs/0712.1620

zbMATH Keywords

Hecke algebrasirreducible representationsdecomposition numberscellular algebrasIwahori-Hecke algebrasJames conjecture

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08)

Related Items (4)

Invariant Bilinear Forms on W-Graph Representations and Linear Algebra Over Integral Domains ⋮ Decomposition matrices for exceptional groups at \(d=4\) ⋮ Representation theory of symmetric groups and related Hecke algebras ⋮ On the Kazhdan–Lusztig cells in type $E_8$

Uses Software

• CHEVIE
• MeatAxe

Cites Work

• The decomposition numbers of the Hecke algebra of type \(F_ 4\)
• On the existence of a W-graph for an irreducible representation of a Coxeter group
• On the semisimplicity of Hecke algebras
• Representations of Coxeter groups and Hecke algebras
• Peakword condensation and submodule lattices: An application of the Meat- Axe
• On the decomposition numbers of the Hecke algebra of \(G(m,1,n)\)
• On the topology of components of some Springer fibers and their relation to Kazhdan-Lusztig theory.
• Cellular algebras
• CHEVIE -- A system for computing and processing generic character tables
• Hecke algebras at roots of unity and crystal bases of quantum affine algebras
• The number of simple modules of the Hecke algebras of type \(G(r,1,n)\)
• Hecke algebras of finite type are cellular.
• On relations between the classical and the Kazhdan-Lusztig representations of symmetric groups and associated Hecke algebras.
• Characters of Reductive Groups over a Finite Field. (AM-107)
• KAZHDAN–LUSZTIG CELLS AND THE MURPHY BASIS
• Representations of Hecke Algebras of General Linear Groups
• Brauer trees of hecke algebras
• The Decomposition Numbers of the Hecke Algebra of Type E ∗ 6
• The Decomposition Matrices of GL _n (q ) for n ⩽ 10
• Hecke Algebras with Unequal Parameters
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