Quantization of the external algebra on a Poisson-Lie group
| dc.creator | Arutyunov, G. E. | |
| dc.creator | Medvedev, P. B. | |
| dc.date | 1993-11-17 | |
| dc.date | 1994-02-04 | |
| dc.date.accessioned | 2026-07-07T09:01:24Z | |
| dc.date.available | 2026-07-07T09:01:24Z | |
| dc.description | We show that the external algebra $\cal M$ on $GL(N)$ can be equipped with the graded Poisson brackets compatible with the group action. We prove that there are only two graded Poisson-Lie structures (brackets) on $\cal M$ and we obtain their explicit description. We realize that just these two structures appear as the quasiclassical limit of the bicovariant differential calculi on the quantum linear group $GL_q (N)$. | |
| dc.description | 19 pages. The proof of eq.(3.16) and LaTeX errors are corrected | |
| dc.identifier | https://arxiv.org/abs/hep-th/9311096 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9311096 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/148305 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Quantum Algebra | |
| dc.title | Quantization of the external algebra on a Poisson-Lie group | |
| dc.type | text |