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arXiv:0712.3662 [math.RT]AbstractReferencesReviewsResources

Cellular structures on Hecke algebras of type B

Cédric Bonnafé, Nicolas Jacon

Published 2007-12-21, updated 2008-05-14Version 3

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.

Categories: math.RT, math.CO
Subjects: 20C08, 20C05, 05E15
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