单点扩张代数的Coxeter变换

On Coxeter Transformation of One-point Extension Algebra

在本文中,假设A是总体维数有限的有限维结合代数,其Coxeter变换的特征多项式记为χA(λ)。设M是一个有限维左A模,本文给出了A在M处单点扩张代数B=A [M]的Coxeter变换的特征多项式的详细公式。

In this paper, let be an associative algebra with finite global dimension, its characteristic polynomial of Coxeter transformation denoted by. Let be a finite dimensional left module. This paper gives an explicit description of the characteristic polynomial of Coxeter transformation of one-point extension algebra.