Homological algebra with locally compact abelian groups
| dc.creator | Hoffmann, Norbert | |
| dc.creator | Spitzweck, Markus | |
| dc.date | 2005-10-17 | |
| dc.date.accessioned | 2026-07-07T08:14:57Z | |
| dc.date.available | 2026-07-07T08:14:57Z | |
| dc.description | In this article we study locally compact abelian (LCA) groups from the viewpoint of derived categories, using that their category is quasi-abelian in the sense of J.-P. Schneiders. We define a well-behaved derived Hom-complex with values in the derived category of Hausdorff topological abelian groups. Furthermore we introduce a smallness condition for LCA groups and show that such groups have a natural tensor product and internal Hom which both admit derived versions. | |
| dc.description | 18 pages, AMSLaTeX | |
| dc.identifier | https://arxiv.org/abs/math/0510345 | |
| dc.identifier | http://arxiv.org/abs/math/0510345 | |
| dc.identifier | Advances in Mathematics 212 (2007), 504-524 | |
| dc.identifier | doi:10.1016/j.aim.2006.09.019 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/133312 | |
| dc.subject | Group Theory | |
| dc.subject | Category Theory | |
| dc.subject | Number Theory | |
| dc.subject | 22B05 (Primary) 18G10 (Secondary) | |
| dc.title | Homological algebra with locally compact abelian groups | |
| dc.type | text |