A construction of semisimple tensor categories
| dc.creator | Knop, Friedrich | |
| dc.date | 2006-05-04 | |
| dc.date | 2006-05-13 | |
| dc.date.accessioned | 2026-07-07T07:13:55Z | |
| dc.date.available | 2026-07-07T07:13:55Z | |
| dc.description | Starting from an abelian category A such that every object has only finitely many subobjects we construct a semisimple tensor category T. We show that T interpolates the categories Rep(Aut(p),K) where p runs through certain projective (pro-)objects of A. The main example is A=finite dimensional F_q-vector spaces. Then T can be considered as the category of representations of GL(n,F_q) where n is not a natural number. This work extends a construction of Deligne for symmetric groups. | |
| dc.description | v1: 6 pages; v2: 6 pages, slightly shortened, minor changes | |
| dc.identifier | https://arxiv.org/abs/math/0605126 | |
| dc.identifier | http://arxiv.org/abs/math/0605126 | |
| dc.identifier | C. R. Math. Acad. Sci. Paris 343 (2006) 15-18 | |
| dc.identifier | doi:10.1016/j.crma.2006.05.009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/112662 | |
| dc.subject | Category Theory | |
| dc.subject | Representation Theory | |
| dc.subject | 18B10; 18D10; 20G05 | |
| dc.title | A construction of semisimple tensor categories | |
| dc.type | text |