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arXiv:0911.5209 [math.RT]AbstractReferencesReviewsResources

Canonical bases and affine Hecke algebras of type B

Michela Varagnolo, Eric Vasserot

Published 2009-11-27, updated 2010-05-31Version 3

We prove a series of conjectures of Enomoto and Kashiwara on canonical bases and branching rules of affine Hecke algebras of type B. The main ingredient of the proof is a new graded Ext-algebra associated with quiver with involutions that we compute explicitly.

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