The dimension formula of the cyclic homology of truncated quiver algebras over a field of positive characteristic

被引：4

作者：

Itagaki, Tomohiro ^{[1
]}

Sanada, Katsunori ^{[1
]}

机构：

[1] Tokyo Univ Sci, Dept Math, Shinjuku Ku, Tokyo 1628601, Japan

来源：

JOURNAL OF ALGEBRA | 2014年 / 404卷

关键词：

Cyclic homology; Hochschild homology; Truncated quiver algebra; Spectral sequence; QUADRATIC MONOMIAL ALGEBRAS; HOCHSCHILD COHOMOLOGY; COMPLEXES;

D O I：

10.1016/j.jalgebra.2013.12.031

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give the dimension formula of the cyclic homology of truncated quiver algebras over a field of positive characteristic. This is done by using a mixed complex due to Cibils. We consider a spectral sequence associated with the Cibils' mixed complex, which converges to the cyclic homology. The El-term of this spectral sequence, that is the Hochschild homology, is calculated by Skoldberg. In this paper, by means of chain maps between the projective resolution constructed by Skoldberg and one by Cibils, we calculate the E-2-term, and we have the dimension formula of the cyclic homology. (c) 2014 Elsevier Inc. All rights reserved.

引用

页码：200 / 221

页数：22

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