Introduction -- Preliminaries -- Double Ringel-Hall algebras of cyclic quivers -- Affine quantum Schur algebras and the Schur-Weyl reciprocity -- Representations of affine quantum Schur algebras -- The presentation and realization problems -- The classical (v=1) case
Summary
The first book of its kind to present an algebraic approach to affine q-Schur algebras and affine quantum Schur-Weyl theory