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The Quiver of Projectives in Hereditary Categories with Serre Duality
| Content Provider | Semantic Scholar |
|---|---|
| Author | Berg, Carl Fredrik Roosmalen, Adam-Christiaan Van |
| Copyright Year | 2009 |
| Abstract | Let k be an algebraically closed field and A a k-linear hereditary category satisfying Serre duality with no infinite radicals between the preprojective objects. If A is generated by the preprojective objects, then we show that A is derived equivalent to repk Q for a so called strongly locally finite quiver Q. To this end, we introduce light cone distances and round trip distances on quivers which will be used to investigate sections in stable translation quivers of the form ZQ. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/0801.1461v2.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Categories Distance Fenchel's duality theorem Physical object Quiver |
| Content Type | Text |
| Resource Type | Article |
