On the defining relations for generalized q-Schur algebras

被引：5
|
作者：
Doty, Stephen [1 ]
Giaquinto, Anthony [1 ]
Sullivan, John [2 ]
机构：
[1] Loyola Univ, Dept Math & Stat, Chicago, IL 60626 USA
[2] Univ Washington, Dept Math, Seattle, WA 98195 USA
来源：
ADVANCES IN MATHEMATICS | 2009年 / 221卷 / 03期
关键词：
q-Schur algebras; Generalized Schur algebras; Quantized enveloping algebras;
D O I：
10.1016/j.aim.2009.01.012
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that the defining relations needed to describe a generalized q-Schur algebra as a quotient of a quantized enveloping algebra are determined completely by the defining ideal of a certain finite affine variety, the points of which correspond bijectively to the set of weights. This explains, unifies, and extends previous results. (C) 2009 Elsevier Inc. All rights reserved.
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页码：955 / 982
页数：28
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