Quasi-triangular structures on Hopf algebras with positive bases
| dc.creator | Lu, J. H. | |
| dc.creator | Yan, M. | |
| dc.creator | Zhu, Y. C. | |
| dc.date | 1999-11-13 | |
| dc.date.accessioned | 2026-07-07T05:31:35Z | |
| dc.date.available | 2026-07-07T05:31:35Z | |
| dc.description | A basis B of a finite dimensional Hopf algebra H is said to be positive if all the structure constants of H relative to B are non-negative. A quasi-triangular structure $R\in H\otimes H$ is said to be positive with respect to B if it has non-negative coefficients in the basis $B \otimes B$ of $H\otimes H$. In our earlier work, we have classified all finite dimensional Hopf algebras with positive bases. In this paper, we classify positive quasi-triangular structures on such Hopf algebras. A consequence of this classification is a new way of constructing set-theoretical solutions of the Yang-Baxter equation. | |
| dc.identifier | https://arxiv.org/abs/math/9911092 | |
| dc.identifier | http://arxiv.org/abs/math/9911092 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79396 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Rings and Algebras | |
| dc.title | Quasi-triangular structures on Hopf algebras with positive bases | |
| dc.type | text |