»ã±¨±êÌâ (Title)£ºSome Invariants of finite-dimensional representations of n-regular tree T(n) £¨n-ÕýÔòÊ÷ÓÐÏÞά°µÊ¾µÄ²»±äÁ¿£©

»ã±¨ÈË (Speaker)£ºÁõ½Ü £¨¹ã¶«¹¤Òµ´óѧ£©

»ã±¨¹¦·ò (Time)£º2025Äê5ÔÂ8ÈÕ(ÖÜËÄ) 10:30

»ã±¨µØÖ· (Place)£ºÐ£±¾²¿GJ303

Ô¼ÇëÈË(Inviter)£ºÃÏãìÑó

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»ã±¨ÌáÒª£ºSince 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).