广义行列式及其性质

Generalized Determinants and Their Properties

设A为连通分次Frobenius代数,σ为A的Frobenius结构映射,引入一类广义行列式即σ-行列式的概念,讨论了σ-行列式的基本性质,并介绍了广义矩阵代数及其一个特殊的类群元素.

Assume that A is a connected graded Frobenius algebra,whose Frobenius form isσ.The concept of generalized determinant,calledσ-determinant,is introduced.Some properties ofσ-determinants are studied.And the generalized matrix algebra and a group-like element of it are introduced.