Article ID Journal Published Year Pages File Type
8897309 Journal of Pure and Applied Algebra 2018 24 Pages PDF
Abstract
The aim of this note is to understand the injectivity of Feigin's map Fw by representation theory of quivers, where w is the word of a reduced expression of the longest element of a finite Weyl group. This is achieved by the Ringel-Hall algebra approach and a careful studying of a well-known total order on the category of finite-dimensional representations of a valued quiver of finite type. As a byproduct, we also generalize Reineke's construction of monomial bases to non-simply-laced cases.
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Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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