Endomorphism Algebras of Some Modules for Schur Algebras and Representation Dimension

被引：3

作者：

Donkin, Stephen ^{[1
]}

Geranios, Haralampos ^{[1
]}

机构：

[1] Univ York, Dept Math, York YO10 5DD, N Yorkshire, England

来源：

ALGEBRAS AND REPRESENTATION THEORY | 2014年 / 17卷 / 02期

关键词：

Schur algebra; Algebraic group; Representation dimension; Infinitesimal subgroup;

D O I：

10.1007/s10468-013-9412-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the representation dimension, for fixed n a parts per thousand yen 2, of ordinary and quantised Schur algebras S(n, r) over a field k. For k of positive characteristic p we give a lower bound valid for all p. We also give an upper bound in the quantum case, when k has characteristic 0.

引用

页码：623 / 642

页数：20

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