Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4587930 | Journal of Algebra | 2008 | 15 Pages |
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