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Canonical bases and affine Hecke algebras of type B

By Michela Varagnolo and Eric Vasserot

Abstract

82 pagesWe 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

Topics: [MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT]
Publisher: HAL CCSD
Year: 2009
OAI identifier: oai:HAL:hal-00435938v3
Provided by: Hal-Diderot

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