Schur Functors on QF-3 Standardly Stratified Algebras
Schur Functors on QF-3 Standardly Stratified Algebras作者机构:Institute of Mathematics Chinese Academy of Sciences Beijing 100080 P. R. China
出 版 物:《Acta Mathematica Sinica,English Series》 (数学学报(英文版))
年 卷 期:2008年第24卷第2期
页 面:311-318页
核心收录:
学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学]
基 金:the AsiaLink Grant ASI/B7-301/98/679-11 the National Natural Foundation of China (Grant No.10501041 and 10301033)
主 题:Schur functor dominant dimension QF-3 algebra standardly stratified algebra
摘 要:Let A be a QF-3 standardly stratified algebra and f be a Schur functor corresponding to some projective-injective faithful A-module, denoted by Ae. The main result of this paper is to prove that, if the dominant dimension of A is sufficiently large, then ] induces a full embedding from £(△) to eAe-mod which preserves Ext-groups up to certain degrees, where £(△) denotes the full subcategory of A-mod whose objects are filtered by standard A-modules. We check this criterion on some typical examples, quantized Schur algebras Sq(n,r) with n≥r and finite-dimensional algebras associated with the Bernstein-Gelfand-Gelfand category O of semisimple complex Lie algebras.