Abelian Group Clifford Algebras
| dc.creator | Neijens, Tim | |
| dc.creator | Van Oystaeyen, Fred | |
| dc.date | 2009-03-26 | |
| dc.date.accessioned | 2026-07-07T12:57:09Z | |
| dc.date.available | 2026-07-07T12:57:09Z | |
| dc.description | In "A note on generalized Clifford algebras and representations" (Caenepeel, S.; Van Oystaeyen, F., Comm. Algebra 17 (1989) no. 1, 93--102.) generalized Clifford algebras were introduced via Clifford representations; these correspond to projective representations of a finite group (Abelian), $G$ say, such that the corresponding twisted group ring has minimal center. The latter then translates to the fact that the corresponding 2-cocycle allows a minimal (none!) number of ray classes and this forces a decomposition of $G$ in cyclic components in a suitable way, cf. Zmud, M., Symplectic geometries and projective representations of finite Abelian groups, (Russian) Mat. Sb. (N.S.) 87(129) (1972), 3--17.. In this small paper, I will provide a way to represent an Abelian Group Clifford Algebra using a matrix, and then give a way to calculate whether or not the center is trivial. | |
| dc.identifier | https://arxiv.org/abs/0903.4650 | |
| dc.identifier | http://arxiv.org/abs/0903.4650 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224827 | |
| dc.subject | Rings and Algebras | |
| dc.title | Abelian Group Clifford Algebras | |
| dc.type | text |