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.

引用

页码：955 / 982

页数：28

共 9 条

[1] [Anonymous], CONT MATH AM MATH SO
[2] DIPPER R, 2005, RATIONAL SCHUR ALGEB
[3] ON SCHUR ALGEBRAS AND RELATED ALGEBRAS .1.
DONKIN, S
[J]. JOURNAL OF ALGEBRA, 1986, 104 (02) : 310 - 328
[4] Doty S, 2002, INT MATH RES NOTICES, V2002, P1907
[5] Doty S., 2003, Represent. Theory, V7, P196
[6] Presenting generalized Schur algebras in types B, C, D
Doty, Stephen
Giaquinto, Anthony
Sullivan, John
[J]. ADVANCES IN MATHEMATICS, 2006, 206 (02) : 434 - 454
[7] Fulton W., 1969, ALGEBRAIC CURVES
[8] Lusztig G., 1993, INTRO QUANTUM GROUPS
[9] LUSZTIG G, 1990, J AM MATH SOC, V3, P447, DOI DOI 10.2307/1990961.MR1035415

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