Pointed Hopf algebras of dimension 32
| dc.creator | Graña, Matias | |
| dc.date | 2001-10-02 | |
| dc.date.accessioned | 2026-07-07T04:43:38Z | |
| dc.date.available | 2026-07-07T04:43:38Z | |
| dc.description | We give a complete classification of the 32-dimensional pointed Hopf algebras over an algebraically closed field k with characteristic different from 2. It turns out that there are infinite families of isomorphism classes of pointed Hopf algebras of dimension 32. In [Andruskiewitsch-Schneider, J. Alg 209], [Beattie-Dascalescu-Grunenfelder, Invent. Math. 136 (1)] and [Gelaki, J. Alg 209] are given families of counterexamples for the tenth Kaplansky conjecture. Up to now, 32 is the lowest dimension where Kaplansky conjecture fails. | |
| dc.description | 38 pages. The published paper with a minor correction | |
| dc.identifier | https://arxiv.org/abs/math/0110033 | |
| dc.identifier | http://arxiv.org/abs/math/0110033 | |
| dc.identifier | Comm. Alg., 28 (6), 2000, 2935-2976 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62307 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 16W30 | |
| dc.title | Pointed Hopf algebras of dimension 32 | |
| dc.type | text |