02416nam a22003618a 4500001001600000003000700016005001700023006001900040007001500059008004100074020002600115020003000141040002400171050002200195082001500217100002500232245003800257260005200295264005200347300005900399336002600458337002600484338003600510490006300546500007300609520115000682650003001832650003201862776003501894786001401929830006401943856004702007CR9780511600708UkCbUP20160624102257.0m|||||o||d||||||||cr||||||||||||090722s1998||||enk s ||1 0|eng|d a9780511600708 (ebook) z9780521645584 (paperback) aUkCbUPcUkCbUPerda00aQA176 b.D66 199800a512/.22211 aDonkin, S.,eauthor.14aThe q-Schur Algebra /cS. Donkin. 1aCambridge :bCambridge University Press,c1998. 1aCambridge :bCambridge University Press,c1998. a1 online resource (192 pages) :bdigital, PDF file(s). atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier0 aLondon Mathematical Society Lecture Note Series ;vno. 253 aTitle from publisher's bibliographic system (viewed on 16 Oct 2015). aThis book focuses on the representation theory of q-Schur algebras and connections with the representation theory of Hecke algebras and quantum general linear groups. The aim is to present, from a unified point of view, quantum analogues of certain results known already in the classical case. The approach is largely homological, based on Kempf's vanishing theorem for quantum groups and the quasi-hereditary structure of the q-Schur algebras. Beginning with an introductory chapter dealing with the relationship between the ordinary general linear groups and their quantum analogies, the text goes on to discuss the Schur Functor and the 0-Schur algebra. The next chapter considers Steinberg's tensor product and infinitesimal theory. Later sections of the book discuss tilting modules; the Ringel dual of the q-Schur algebra; Specht modules for Hecke algebras; and the global dimension of the q-Schur algebras. An appendix gives a self-contained account of the theory of quasi-hereditary algebras and their associated tilting modules. This volume will be primarily of interest to researchers in algebra and related topics in pure mathematics. 0aRepresentations of groups 0aRepresentations of algebras08iPrint version: z9780521645584 dCambridge 0aLondon Mathematical Society Lecture Note Series ;vno. 253.40uhttp://dx.doi.org/10.1017/CBO9780511600708