Isomorphisms between affine Hecke algebras

preprint2012arXivOpen access

Abstract

Let kk be a field and suppose p,q∈kp, q\in k. We prove that the two affine Hecke algebras HqH_q and HpH_p of type AnA_n are isomorphic as kk-algebras if and only if p=q±1p=q^{\pm 1}.

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