The Hochschild cohomology ring of a cyclic block

被引：7
|
作者：
Siegel, SF [1 ]
Witherspoon, SJ
机构：
[1] Univ Massachusetts, Dept Comp Sci, Amherst, MA 01003 USA
[2] Univ Wisconsin, Dept Math, Madison, WI 53706 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2000年 / 128卷 / 05期
关键词：
finite groups; representation theory; Hochschild cohomology; blocks; cyclic defect;
D O I：
10.1090/S0002-9939-00-05466-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Suppose B is a block of a group algebra kG with cyclic defect group. We calculate the Hochschild cohomology ring of B, giving a complete set of generators and relations. We then show that if B is the principal block, the canonical map from H*(G; k) to the Hochschild cohomology ring of B induces an isomorphism modulo radicals.
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页码：1263 / 1268
页数：6
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