AFFINE QUANTUM SCHUR ALGEBRAS AND AFFINE HECKE ALGEBRAS

Let F be the Schur functor from the category of finite-dimensional H-Delta(r)(C)-modules to that of finite-dimensional L-Delta(n, r)(C)-modules, where H-Delta(r)(C) is the extended affine Hecke algebra of type A over C and L-Delta(n, r)(C) is the affine quantum Schur algebras over C. The Drinfeld polynomials associated with F(V), where V is an irreducible H-Delta(n, r)(C)-module, have been previously determined when n > r. Here we generalize these results to the case n <= r. As an application, we recover the classification of finite-dimensional irreducible L-Delta(n, r)(C)-modules proved by Deng, Du and Fu using a different method. As another application, we generalize a result of Green to the affine case.