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Canonical bases and affine Hecke algebras of type B
Michela Varagnolo 1, Eric Vasserot 2
(2009-11-25)

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.
1:  Laboratoire d'Analyse, Géométrie et Modélisation (AGM)
CNRS : UMR8088 – Université de Cergy Pontoise
2:  Institut de Mathématiques de Jussieu (IMJ)
CNRS : UMR7586 – Université Pierre et Marie Curie - Paris VI – Université Paris-Diderot - Paris VII
Mathematics/Representation Theory
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