The ordinary quivers of Hochschild extension algebras for self-injective Nakayama algebras

被引：2

作者：

Koie, Hideyuki ^{[1
]}

Itagaki, Tomohiro ^{[1
]}

Sanada, Katsunori ^{[1
]}

机构：

[1] Tokyo Univ Sci, Dept Math, Tokyo, Japan

来源：

COMMUNICATIONS IN ALGEBRA | 2018年 / 46卷 / 09期

基金：

日本学术振兴会;

关键词：

Hochschild extension; Hochschild (co)homology; trivial extension; self-injective Nakayama algebra; symmetric algebra; quiver; COHOMOLOGY; HOMOLOGY;

D O I：

10.1080/00927872.2018.1430806

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let T be a Hochschild extension algebra of a finite dimensional algebra A over a field K by the standard duality A-bimodule Hom(K)(A, K). In this paper, we determine the ordinary quiver of T if A is a self-injective Nakayama algebra by means of the N-graded second Hochschild homology group HH2(A) in the sense of Skoldberg.

引用

页码：3950 / 3964

页数：15

共 15 条

[1] Comparison morphisms and the Hochschild cohomology ring of truncated quiver algebras [J].