j9国际集团

汇报标题 (Title)：Some Invariants of finite-dimensional representations of n-regular tree T(n) （n-正则树有限维暗示的不变量）

汇报人 (Speaker)：刘杰 （广东工业大学）

汇报功夫 (Time)：2025年5月8日(周四) 10:30

汇报地址 (Place)：校本部GJ303

约请人(Inviter)：孟沆洋

主办部门：理学院数学系

汇报提要：Since it is impossible to classify all the representations of the generalized Kronecker quiver K(n), it is desirable to find the invariants. Claus Ringel once introduced two invariants for the covering quiver T(n) of K(n) in 2018: center and radius, and he wanted to know what would happen if we used the reflection functor to act on them. In this talk, we answer his question and we classify all the elementary representations of K(n). Moreover, we follow Carlson, Friedlander and Pevtsova’s definition of modules of constant Jordan type, and we show that there are only two types of modules of constant Jordan type in the regular component of T(n).