Canonical bases and affine Hecke algebras of type B

Details Canonical bases and affine Hecke algebras of type B Canonical bases and affine Hecke algebras of type B

2009-11-27

arxiv.org/abs/0911.5209v3

Mathematics

Representation Theory

82 pages

Scientific paper

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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