HOCHSCHILD COHOMOLOGY OF POLYNOMIAL REPRESENTATIONS OF GL2

被引：0

作者：

Miemietz, Vanessa ^{[1
]}

Turner, Will ^{[2
]}

机构：

[1] Univ East Anglia, Sch Math, Norwich NR4 7TJ, Norfolk, England

[2] Univ Aberdeen, Dept Math, Kings Coll, Fraser Noble Bldg, Aberdeen AB24 3UE, Scotland

来源：

DOCUMENTA MATHEMATICA | 2018年 / 23卷

关键词：

Hochschild cohomology; GL(2); Koszul duality; differential graded algebras; ALGEBRAS; DUALITY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We compute the Hochschild cohomology algebras of Ringel-self-dual blocks of polynomial representations of GL(2) over an algebraically closed field of characteristic p > 2, that is, of any block whose number of simple modules is a power of p. These algebras are finite-dimensional and we provide an explicit description of their bases and multiplications.

引用

页码：117 / 170

页数：54

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