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Some invariants of representations for the generalized Kronecker quiver K(n)

发布时间：2025-08-01 作者：浏览次数：

Speaker:	刘杰	DateTime:	2025年8月5日（周二）下午15:15-15:55
Brief Introduction to Speaker: 广东工业大学		Place:	国交2号楼315报告厅
Abstract: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 introduces two invariants for its covering T(n): center and radius, and he wants to know what would happen if we use the reflection functor to act on them. In this talk, we answer his question and we classify 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).