On Galois coverings and tilting modules
| dc.creator | Meur, Patrick Le | |
| dc.date | 2006-09-22 | |
| dc.date | 2007-01-12 | |
| dc.date.accessioned | 2026-07-07T10:05:52Z | |
| dc.date.available | 2026-07-07T10:05:52Z | |
| dc.description | Let A be a basic connected finite dimensional algebra over an algebraically closed field, let G be a group, let T be a basic tilting A-module and let B the endomorphism algebra of T. Under a hypothesis on T, we establish a correspondence between the Galois coverings with group G of A and the Galois coverings with group G of B. The hypothesis on T is expressed using the Hasse diagram of basic tilting A-modules and is always verified if A is of finite representation type. Then, we use the above correspondence to prove that A is simply connected if and only if B is simply connected, under the same hypothesis on T. Finally, we prove that if a tilted algebra B of type Q is simply connected, then Q is a tree and the first Hochschild cohomology group of B vanishes | |
| dc.description | Fourth version. A result on the simple connectedness of tilted algebras was added | |
| dc.identifier | https://arxiv.org/abs/math/0609647 | |
| dc.identifier | http://arxiv.org/abs/math/0609647 | |
| dc.identifier | Journal of Algebra 319, 12 (2008) 4961--4999 | |
| dc.identifier | doi:10.1016/j.jalgebra.2008.03.003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/170136 | |
| dc.subject | Representation Theory | |
| dc.subject | 16G10; 16E99 | |
| dc.title | On Galois coverings and tilting modules | |
| dc.type | text |