On pointed Hopf algebras and Kaplansky's 10th conjecture
| dc.creator | Gelaki, Shlomo | |
| dc.date | 1998-01-28 | |
| dc.date | 1998-06-29 | |
| dc.date.accessioned | 2026-07-07T05:23:42Z | |
| dc.date.available | 2026-07-07T05:23:42Z | |
| dc.description | In this paper we construct and study two new families of finite dimensional pointed Hopf algebras which generalize Radford's families. We show that over any infinite field which contains a primitive nth root of unity, one of the families contains infinitely many non-isomorphic Hopf algebras of any dimension of the form Nn^2, where 2<n<N are integers so that n divides N. We thus answer in the negative Kaplansky's 10th conjecture from 1975 on the finite number of types of Hopf algebras of a given dimension. | |
| dc.description | 19 pages, latex. This is an extended revision which will appear in J. Alg | |
| dc.identifier | https://arxiv.org/abs/math/9801130 | |
| dc.identifier | http://arxiv.org/abs/math/9801130 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76546 | |
| dc.subject | Quantum Algebra | |
| dc.title | On pointed Hopf algebras and Kaplansky's 10th conjecture | |
| dc.type | text |