Non-semisimple Hopf Algebras of Dimension p^2
| dc.creator | Ng, Siu-Hung | |
| dc.date | 2001-10-19 | |
| dc.date | 2001-10-23 | |
| dc.date.accessioned | 2026-07-07T04:43:58Z | |
| dc.date.available | 2026-07-07T04:43:58Z | |
| dc.description | Let H be a Hopf algebra of dimension pq over an algebraically closed field of characteristic 0, where p <= q are odd primes. Suppose that S is the antipode of H. If H is not semisimple, then S^{4p}=id_H and Tr(S^{2p}) is an integer divisible by p^2. In particular, if dim H = p^2, we prove that H is isomorphic to a Taft algebra. We then complete the classification for the Hopf algebras of dimension p^2. | |
| dc.identifier | https://arxiv.org/abs/math/0110223 | |
| dc.identifier | http://arxiv.org/abs/math/0110223 | |
| dc.identifier | (Corrected version) Journal of Algebra 255 (2002) 182-197 | |
| dc.identifier | doi:10.1016/S0021-8693(02)00139-4 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62453 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Rings and Algebras | |
| dc.title | Non-semisimple Hopf Algebras of Dimension p^2 | |
| dc.type | text |