The Coxeter polynomial for a one point extension algebra

被引：9

作者：

Happel, Dieter ^{[1
]}

机构：

[1] Tech Univ Chemnitz, Fak Math, D-09107 Chemnitz, Germany

来源：

JOURNAL OF ALGEBRA | 2009年 / 321卷 / 07期

关键词：

Coxeter transformation; Finite dimensional algebra; One-point extension; TRANSFORMATIONS; MATRIX;

D O I：

10.1016/j.jalgebra.2009.01.017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Lambda be a finite-dimensional algebra over an algebraically closed field k of finite global dimension. Let M be a finitely generated Lambda-module and let Gamma = Lambda[M] be the one point extension algebra. We show how to compute the Coxeter polynomial for Gamma from the Coxeter polynomial of Lambda and homological invariants of M. (c) 2009 Elsevier Inc. All rights reserved.

引用

页码：2028 / 2041

页数：14

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