Hopf algebras of dimension 14
| dc.creator | Beattie, M. | |
| dc.creator | Dăscălescu, S. | |
| dc.date | 2002-05-23 | |
| dc.date | 2003-04-21 | |
| dc.date.accessioned | 2026-07-07T04:48:39Z | |
| dc.date.available | 2026-07-07T04:48:39Z | |
| dc.description | Let H be a finite dimensional non-semisimple Hopf algebra over an algebraically closed field k of characteristic 0. If H has no nontrivial skew-primitive elements, we find some bounds for the dimension of H_1, the second term in the coradical filtration of H. Using these results, we are able to show that every Hopf algebra of dimension 14 is semisimple and thus isomorphic to a group algebra or the dual of a group algebra. Also a Hopf algebra of dimension pq where p and q are odd primes with p<q and q less than or equal to 1 + 3p, and also less than or equal to 13, is semisimple and thus a group algebra or the dual of a group algebra. We also have some partial results in the classification problem for dimension 16. | |
| dc.description | 16 pages. The revised version of this paper includes a proof that Hopf algebras of dimension 65 are semisimple, a dimension not covered so far in the literature | |
| dc.identifier | https://arxiv.org/abs/math/0205243 | |
| dc.identifier | http://arxiv.org/abs/math/0205243 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64133 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 16W30 | |
| dc.title | Hopf algebras of dimension 14 | |
| dc.type | text |