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

页码：111 / 120

页数：10

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