HOCHSCHILD COHOMOLOGY RING OF A MAXIMAL ORDER OF THE QUATERNION ALGEBRA

被引：1
|
作者：
Hayami, Takao [1 ]
机构：
[1] Hokkai Gakuen Univ, Dept Math, Toyohira ku, 4-1-40,Asahi Machi, Sapporo, Hokkaido 0628605, Japan
来源：
TSUKUBA JOURNAL OF MATHEMATICS | 2012年 / 36卷 / 01期
关键词：
Hochschild cohomology ring; bimodule projective resolution; maximal quaternion order; Yoneda product;
D O I：
10.21099/tkbjm/1341951748
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give an efficient bimodule projective resolution of a maximal Z-order Lambda of the ordinary quaternion algebra over Q, and therefore we determine the ring structure of the Hochschild cohomology of L by calculating the Yoneda products using this resolution.
引用
收藏
页码：111 / 120
页数：10
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