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math.RT2011★ 4 cited
Representation Theory of an Infinite Quiver
Raymundo Bautista, Shiping Liu, Charles Paquette
This paper deals with the representation theory of a locally finite quiver in which the number of paths between any two given vertices is finite. We first study some properties of…
math.RT2011
A proof of the strong no loop conjecture
Kiyoshi Igusa, Shiping Liu, Charles Paquette
The strong no loop conjecture states that a simple module of finite projective dimension over an artin algebra has no non-zero self-extension. The main result of this paper establi…