‘Good’ Elements of Finite Coxeter Groups and Representations of Iwahori-Hecke Algebras

DOI10.1112/S0024611597000105zbMath0877.20027OpenAlexW2009692456MaRDI QIDQ4344045

Meinolf Geck, Jean Michel

Publication date: 7 July 1997

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024611597000105

zbMATH Keywords

relationsconjugacy classesCoxeter groupsirreducible representationscharacter tablesgeneric Iwahori-Hecke algebraselements of minimal lengthArtin-Tits braid groupsdistinguished generator sets

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Braid groups; Artin groups (20F36) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (11)

Lifting of elements of Weyl groups ⋮ A generalization of Steinberg’s cross section ⋮ Minimal length elements in some double cosets of Coxeter groups. ⋮ CHEVIE -- A system for computing and processing generic character tables ⋮ Minimal length elements of finite Coxeter groups. ⋮ On the generalised Springer correspondence for groups of type 𝐸₈ ⋮ Affineness of Deligne-Lusztig varieties for minimal length elements. ⋮ Hirota equations associated with simply laced affine Lie algebras: The cuspidal class E6 of ${\mathfrak {e}}_6^{(1)}$e6(1) ⋮ Reflection Groups ⋮ Minimal length elements in twisted conjugacy classes of finite Coxeter groups. ⋮ The development version of the \texttt{CHEVIE} package of \texttt{GAP3}.

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