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Cellular structures on Hecke algebras of type B
Article de revue   Open Access   Avec comité de lecture

Cellular structures on Hecke algebras of type B

Cédric Bonnafé et Nicolas Jacon
Journal of Algebra, Vol.321(11), pp.3089-3111
2009

Résumé

Kazhdan-Lusztig theory Hecke algebras modular representation cellular algebras Kazhdan-Lusztig theory. 20C08; 20C05; 05E15
The aim of this paper is to gather and (try to) unify several approaches for the modular representation theory of Hecke algebras of type $B$. We attempt to explain the connections between Geck's cellular structures (coming from Kazhdan-Lusztig theory with unequal parameters) and Ariki's Theorem on the canonical basis of the Fock spaces.

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