Article ID Journal Published Year Pages File Type
4587930 Journal of Algebra 2008 15 Pages PDF
Abstract

We prove that the category of representations of the N-Kronecker quiver is derived equivalent to the category which is considered as the category of coherent sheaves on the noncommutative projective scheme associated to . This theorem is easily proved by applying Orlov's theorem. On the other hand, in our proof, a method of noncommutative projective geometry is used, and the quadratic relation naturally arises from Auslander–Reiten theory.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory