The q-Schur algebra

摘要: This book focuses on the representation theory of q-Schur algebras and connections with Hecke quantum general linear groups. The aim is to present, from a unified point view, analogues certain results known already in classical case. approach largely homological, based Kempf's vanishing theorem for groups quasi-hereditary structure algebras. Beginning an introductory chapter dealing relationship between ordinary their analogies, text goes discuss Schur Functor 0-Schur algebra. next considers Steinberg's tensor product infinitesimal theory. Later sections tilting modules; Ringel dual algebra; Specht modules algebras; global dimension An appendix gives self-contained account associated modules. volume will be primarily interest researchers algebra related topics pure mathematics.