Isomorphisms between affine Hecke algebras of type (A2)over tilde

We prove that two affine Hecke algebras H-p and H-q of type (A(2)) over tilde with nonzero parameters p,q is an element of C are not isomorphic whenever p not equal q and pq not equal 1 (Theorem 3.1). However they are isomorphic locally. More precisely, we prove that the quotient algebras H-s.q and H-t.p are isomorphic provided that N-s.q = N-t.p for type (A(2)) over tilde (Theorem 2.4). (C) 2010 Elsevier Inc. All rights reserved.