The Derived Picard Group is a Locally Algebraic Group
| dc.creator | Yekutieli, Amnon | |
| dc.date | 2000-04-30 | |
| dc.date | 2001-01-11 | |
| dc.date.accessioned | 2026-07-07T04:34:56Z | |
| dc.date.available | 2026-07-07T04:34:56Z | |
| dc.description | Let A be a finite dimensional algebra over an algebraically closed field K. The derived Picard group DPic(A) is the group of two-sided tilting complexes over A modulo isomorphism. We prove that DPic(A) is a locally algebraic group, and its identity component is Out^0(A). If B is a derived Morita equivalent algebra then DPic(A) is isomorphic to DPic(B) as locally algebraic groups. Our results extend, and our based on, work of Huisgen-Zimmermann, Saorin and Rouquier. | |
| dc.description | 4 pages, AMSLaTeX, to appear in Algebr. Represent. Theory | |
| dc.identifier | https://arxiv.org/abs/math/0005005 | |
| dc.identifier | http://arxiv.org/abs/math/0005005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59096 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Representation Theory | |
| dc.subject | 16D90 (Primary); 16G10, 18E30, 20G15 (Secondary) | |
| dc.title | The Derived Picard Group is a Locally Algebraic Group | |
| dc.type | text |