A characterization of coboundary Poisson Lie groups and Hopf algebras
| dc.creator | Zakrzewski, S. | |
| dc.date | 1996-02-01 | |
| dc.date | 1996-07-28 | |
| dc.date.accessioned | 2026-07-07T09:08:37Z | |
| dc.date.available | 2026-07-07T09:08:37Z | |
| dc.description | We show that a Poisson Lie group $(G,π)$ is coboundary if and only if the natural action of $G\times G$ on $M=G$ is a Poisson action for an appropriate Poisson structure on $M$ (the structure turns out to be the well known $π_+$). We analyze the same condition in the context of Hopf algebras. Quantum analogue of the $π_+$ structure on SU(N) is described in terms of generators and relations as an example. | |
| dc.description | 6 pages, PlainTeX, 2 (minor) typos corrected, to appear in Proceedings of QG&QS, Banach Center in Warsaw, Nov. 1995 | |
| dc.identifier | https://arxiv.org/abs/q-alg/9602002 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9602002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150784 | |
| dc.subject | Quantum Algebra | |
| dc.title | A characterization of coboundary Poisson Lie groups and Hopf algebras | |
| dc.type | text |