Primitive Central Idempotents of the Group Algebra
| dc.creator | Endelman, Robin | |
| dc.creator | Mukherjee, Manash | |
| dc.date | 2008-03-10 | |
| dc.date | 2008-03-31 | |
| dc.date.accessioned | 2026-07-07T09:29:04Z | |
| dc.date.available | 2026-07-07T09:29:04Z | |
| dc.description | An approach to representations of finite groups is presented without recourse to character theory. Considering the group algebra C[G] as an algebra of linear maps on C[G] (by left multiplication), we derive the primitive central idempotents as a simultaneous eigenbasis of the centre, Z(C[G]). We apply this framework to obtain the irreducible representations of a class of finite meta-abelian groups. In particular, we give a general construction of the isomorphism between simple blocks of C[G] and the corresponding matrix algebra where G can be any finite group. | |
| dc.description | 11 pages; LaTeX; typos corrected | |
| dc.identifier | https://arxiv.org/abs/0803.1336 | |
| dc.identifier | http://arxiv.org/abs/0803.1336 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157656 | |
| dc.subject | Representation Theory | |
| dc.subject | Rings and Algebras | |
| dc.subject | 20C05 (Primary), 16S34 (Secondary) | |
| dc.title | Primitive Central Idempotents of the Group Algebra | |
| dc.type | text |