Constructing representations of Hecke algebras for complex reflection groups

DOI10.1112/S1461157009000412zbMath1225.20002arXiv0909.4040OpenAlexW2053871069MaRDI QIDQ3092010

Jean Michel, Gunter Malle

Publication date: 15 September 2011

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.4040

zbMATH Keywords

Hecke algebrasirreducible representationsfinite complex reflection groups

Mathematics Subject Classification ID

Related Items (17)

Universal deformations of the finite quotients of the braid group on 3 strands. ⋮ The freeness and trace conjectures for parabolic Hecke subalgebras ⋮ Normalisers of parabolic subgroups in finite unitary reflection groups ⋮ A maximal cubic quotient of the braid algebra. I. ⋮ The BMM symmetrising trace conjecture for the exceptional 2-reflection groups of rank 2 ⋮ The freeness conjecture for Hecke algebras of complex reflection groups, and the case of the Hessian group \(G_{26}\). ⋮ Decomposition matrices for the generic Hecke algebras on 3 strands in characteristic 0 ⋮ Defect in cyclotomic Hecke algebras ⋮ TORIC REFLECTION GROUPS ⋮ A cubic defining algebra for the Links-Gould polynomial ⋮ The BMR freeness conjecture for the tetrahedral and octahedral families ⋮ On non-conjugate Coxeter elements in well-generated reflection groups ⋮ The BMM symmetrising trace conjecture for groups \(G_{4}\), \(G_{5}\), \(G_{6}\), \(G_{7}\), \(G_{8}\) ⋮ On the Irreducibility of the Complex Specialization of the Representation of The Hecke Algebra of the Complex Reflection Group $G_7$ ⋮ A computational approach to Shephard groups ⋮ Unnamed Item ⋮ The development version of the \texttt{CHEVIE} package of \texttt{GAP3}.

Uses Software

• CHEVIE

Cites Work

• Explicit Presentations for Exceptional Braid Groups

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