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Canonical bases and affine Hecke algebras of type B

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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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Authors and Affiliations

  1. Université de Cergy-Pontoise, UMR CNRS 8088, 95000, Cergy-Pontoise, France

    M. Varagnolo

  2. Département de Mathématiques, Université Paris 7, 175 rue du Chevaleret, 75013, Paris, France

    E. Vasserot

Authors
  1. M. Varagnolo
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  2. E. Vasserot
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Correspondence to E. Vasserot.

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Varagnolo, M., Vasserot, E. Canonical bases and affine Hecke algebras of type B. Invent. math. 185, 593–693 (2011). https://doi.org/10.1007/s00222-011-0314-y

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  • DOI: https://doi.org/10.1007/s00222-011-0314-y

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