Sur les triples de Manin pour les algèbres de Lie réductives complexes
| dc.creator | Delorme, P. | |
| dc.date | 1999-12-07 | |
| dc.date | 1999-12-14 | |
| dc.date.accessioned | 2026-07-07T05:32:10Z | |
| dc.date.available | 2026-07-07T05:32:10Z | |
| dc.description | We study Manin triples for a reductive Lie algebra, $\g$. First, we generalize results of E. Karolinsky, on the classification of Lagrangian subalgebras (cf. KAROLINSKY E., {\em A Classification of Poisson homogeneous spaces of a compact Poisson Lie group}, Dokl. Ak. Nauk, 359 (1998), 13-15). Then we show that, if $\g$ is non commutative, one can attach, to each Manin triple in $\g$, an other one for a strictly smaller reductive complex Lie subalgebra of $\g$. We study also the inverse process. | |
| dc.description | 43 pages, LaTeX, minor corrections | |
| dc.identifier | https://arxiv.org/abs/math/9912055 | |
| dc.identifier | http://arxiv.org/abs/math/9912055 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79562 | |
| dc.subject | Quantum Algebra | |
| dc.title | Sur les triples de Manin pour les algèbres de Lie réductives complexes | |
| dc.type | text |