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Schur Functors on QF-3 Standardly Stratified Algebras

Schur Functors on QF-3 Standardly Stratified Algebras

作     者:Ming FANG 

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.

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