Dirac structures and dynamical r-matrices
| dc.creator | Liu, Zhang-Ju | |
| dc.creator | Xu, Ping | |
| dc.date | 1999-03-19 | |
| dc.date | 1999-03-21 | |
| dc.date.accessioned | 2026-07-07T05:28:23Z | |
| dc.date.available | 2026-07-07T05:28:23Z | |
| dc.description | The purpose of this paper is to establish a connection between various subjects such as dynamical r-matrices, Lie bialgebroids, and Lagrangian subalgebras. Our method relies on the theory of Dirac structures developed in dg-ga/9508013 and dg-ga/9611001. In particular, we give a new method of classifying dynamical r-matrices of simple Lie algebras $\frak g$, and prove that dynamical r-matrices are in one-one correspondence with certain Lagrangian subalgebras of ${\frak g}\oplus \frak g$. | |
| dc.description | LaTex, 21 pages | |
| dc.identifier | https://arxiv.org/abs/math/9903119 | |
| dc.identifier | http://arxiv.org/abs/math/9903119 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78243 | |
| dc.subject | Differential Geometry | |
| dc.subject | Quantum Algebra | |
| dc.title | Dirac structures and dynamical r-matrices | |
| dc.type | text |