报告题目 (Title)：Frobenius-Perron theory of the bound quiver algebras containing loops （含圈的有界箭图代数的Frobenius-Perron理论）

报告人 (Speaker)： 陈健敏 教授（厦门大学）

报告时间 (Time)：2022年 5月 28 日 9：30-10：20 (周 六 )

参会方式：腾讯会议         会议ID： 471292851         密码：无

邀请人(Inviter)：高楠

主办部门：理学院数学系

报告摘要：The spectral radius of matrix, also known as Frobenius-Perron dimension, is a useful tool for studying linear algebras and plays an important role in the classification of the representation categories of algebras. This talk focuses on the Frobenius-Perron theory of the representation categories of bound quiver algebras containing loops. We find a way to calculate the Frobenius-Perron dimension of these algebras when they satisfy the commutativity condition of loops. As an application, we prove that the Frobenius-Perron dimension of the representation category of a modified ADE bounded quiver algebra is equal to the maximum number of loops at a vertex. Moreover, we point out that there also exists infinite dimensional algebras whose Frobenius-Perron dimension is equal to the maximal number of loops by giving an example. This is a joint work with Jiayi Chen.