The trace of the coxeter matrix and Hochschild cohomology

被引：21

作者：

Happel, D

机构：

[1] Fakultät für Mathematik, Technische Universität Chemnitz

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1997年 / 258卷

关键词：

D O I：

10.1016/S0024-3795(96)00195-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a basic finite-dimensional k-algebra Lambda of finite global dimension over an algebraically closed field k the Coxeter matrix Phi(Lambda) is defined. The following formula is shown: tr Phi(Lambda) = (i greater than or equal to 0)Sigma(-1)(i)dim(k) H-i(Lambda), where tr is the trace and H-i(Lambda) is the ith Hochschild cohomology space. (C) Elsevier Science Inc., 1997.

引用

页码：169 / 177

页数：9