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Preprints, Working Papers, ... Year : 2006

Canonical basic sets in type B

Meinolf Geck
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  • PersonId : 831736

Abstract

More than 10 years ago, Dipper, James and Murphy developped the theory of Specht modules for Hecke algebras of type $B_n$. More recently, using Lusztig's a-function, Geck and Rouquier showed how to obtain parametrisations of the irreducible representations of Hecke algebras (of any finite type) in terms of so-called canonical basic sets. For certain values of the parameters in type $B_n$, combinatorial descriptions of these basic sets were found by Jacon, based on work of Ariki and Foda-Leclerc-Okado-Thibon-Welsh. Here, we consider the canonical basic sets for all the remaining choices of the parameters.
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Dates and versions

hal-00016536 , version 1 (05-01-2006)
hal-00016536 , version 2 (24-03-2006)

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Meinolf Geck, Nicolas Jacon. Canonical basic sets in type B. 2006. ⟨hal-00016536v1⟩
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