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- W4366977297 abstract "Let k be an algebraically closed field. The generalized or n-Kronecker quiver K(n) is the quiver with two vertices, called a source and a sink, and n arrows from source to sink. Given a finite-dimensional module M of the path algebra kK(n)=Kn, we consider its dimension vector dim¯M=(dimkM1,dimkM2). Let F={(x,y)|2nx≤y≤x}, and let (x,y)∈F. We construct a module X(x, y) of Kn, and we prove it to be elementary. Suppose that dim¯M=(x,y). We show that:if M is an elementary module, then x<2n, andwhen x+y=n+1, the module M is elementary if and only if M is of the form X(x, y)." @default.
- W4366977297 created "2023-04-27" @default.
- W4366977297 creator A5017049142 @default.
- W4366977297 date "2023-04-25" @default.
- W4366977297 modified "2023-09-23" @default.
- W4366977297 title "Dimension vectors of elementary modules of generalized Kronecker quivers" @default.
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- W4366977297 doi "https://doi.org/10.1080/00927872.2023.2203243" @default.
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