Super Poisson-Lie structure on $SU(m\ve n)$ via $SL(m\ve n,\C)^{\R}$
| dc.creator | Pellegrini, F. | |
| dc.date | 2005-12-06 | |
| dc.date.accessioned | 2026-07-07T06:54:55Z | |
| dc.date.available | 2026-07-07T06:54:55Z | |
| dc.description | This paper concerns a super Poisson-Lie structure on the real Lie supergroup $SU(m \ve n)$. In fact, it turns out that the realification of the complex Lie supergroup $SL(m \ve n, \C)$ is a double of $SU(m \ve n)$ i.e. it is endowed with a structure of super Poisson-Lie which brings down on the supergroup $SU(m \ve n)$. We show that the dual Poisson-Lie supergroup of $SU(m\ve n)$ is $s(AN)$. Reciprocaly, $s(AN)$ inherits a super Poisson-Lie structure from the realification of $SL(m\ve n,\C)$ such that its dual Poisson-Lie supergroup is $SU(m\ve n)$. | |
| dc.identifier | https://arxiv.org/abs/math/0512130 | |
| dc.identifier | http://arxiv.org/abs/math/0512130 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/106112 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 17C70, 16W55 | |
| dc.title | Super Poisson-Lie structure on $SU(m\ve n)$ via $SL(m\ve n,\C)^{\R}$ | |
| dc.type | text |