Lifting of Nichols Algebras of Type $B_2$, with an Appendix: A generalization of the q-binomial theorem
| dc.creator | Beattie, Margaret | |
| dc.creator | Dăscălescu, Sorin | |
| dc.creator | Raianu, Serban | |
| dc.creator | Rutherford, Ian | |
| dc.date | 2002-04-05 | |
| dc.date.accessioned | 2026-07-07T12:50:35Z | |
| dc.date.available | 2026-07-07T12:50:35Z | |
| dc.description | We compute liftings of the Nichols algebra of a Yetter-Drinfeld module of Cartan type $B_2$ subject to the small restriction that the diagonal elements of the braiding matrix are primitive $n$th roots of 1 with odd $n\neq 5$. As well, we compute the liftings of a Nichols algebra of Cartan type $A_2$ if the diagonal elements of the braiding matrix are cube roots of 1; this case was not completely covered in previous work of Andruskiewitsch and Schneider. We study the problem of when the liftings of a given Nichols algebra are quasi-isomorphic. The Appendix (with I. Rutherford) contains a generalization of the quantum binomial formula. This formula was used in the computation of liftings of type $B_2$ but is also of interest independent of these results. | |
| dc.description | 25 pages. Appendix with Ian Rutherford | |
| dc.identifier | https://arxiv.org/abs/math/0204075 | |
| dc.identifier | http://arxiv.org/abs/math/0204075 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/222726 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 16W30 | |
| dc.title | Lifting of Nichols Algebras of Type $B_2$, with an Appendix: A generalization of the q-binomial theorem | |
| dc.type | text |