Article ID Journal Published Year Pages File Type
4586632 Journal of Algebra 2010 16 Pages PDF
Abstract

We prove that two affine Hecke algebras Hp and Hq of type with nonzero parameters p,q∈C are not isomorphic whenever p≠q and pq≠1 (Theorem 3.1). However they are isomorphic locally. More precisely, we prove that the quotient algebras Hs,q and Ht,p are isomorphic provided that Ns,q=Nt,p for type (Theorem 2.4).

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory