Small Representations for Affine q-Schur Algebras

摘要

When the parameter q is an element of C* is not a root of unity, simple modules of affine q-Schur algebras have been classified in terms of Frenkel-Mukhin's dominant Drinfeld polynomials (Deng et al. 2012). We compute these Drinfeld polynomials associated with the simple modules of an affine q-Schur algebra which come from the simple modules of the corresponding q-Schur algebra via the evaluation maps.