Hopf Algebras of Dimension $pq$
| dc.creator | Ng, Siu-Hung | |
| dc.date | 2003-04-12 | |
| dc.date | 2003-05-07 | |
| dc.date.accessioned | 2026-07-07T04:56:48Z | |
| dc.date.available | 2026-07-07T04:56:48Z | |
| dc.description | Let $H$ be a non-semisimple Hopf algebra with antipode $S$ of dimension $pq$ over an algebraically closed field of characteristic 0 where $p \le q$ are odd primes. We prove that $\Tr(S^{2p})=p^2d$ where $d \equiv pq \pmod{4}$. As a consequence, if $p,q$ are twin primes, then any Hopf algebra of dimension $pq$ is semisimple. | |
| dc.description | minor change of version 1; manuscript of the talk at the special session of AMS meeting (#986) at New York, April, 2003 | |
| dc.identifier | https://arxiv.org/abs/math/0304156 | |
| dc.identifier | http://arxiv.org/abs/math/0304156 | |
| dc.identifier | Journal of Algebra, 276 (2004), no. 1, 399--406. | |
| dc.identifier | doi:10.1016/j.jalgebra.2003.11.008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67056 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16W30 | |
| dc.title | Hopf Algebras of Dimension $pq$ | |
| dc.type | text |