Formality theorem for Lie bialgebras and quantization of coboundary r-matrices
| dc.creator | Halbout, Gilles | |
| dc.date | 2005-06-23 | |
| dc.date.accessioned | 2026-07-07T05:21:07Z | |
| dc.date.available | 2026-07-07T05:21:07Z | |
| dc.description | Let $(g,δ_\hbar)$ be a Lie bialgebra. Let $(U_\hbar(g),Δ_\hbar)$ a quantization of $(g,δ_\hbar)$ through Etingof-Kazhdan functor. We prove the existence of a $L_\infty$-morphism between the Lie algebra $C(\g)=Λ(g)$ and the tensor algebra $TU=T(U_\hbar(g)[-1])$ with Lie algebra structure given by the Gerstenhaber bracket. When $(g,δ_\hbar,r)$ is a coboundary Lie bialgebra, we deduce from the formality morphism the existence of a quantization $R$ of $r$. | |
| dc.identifier | https://arxiv.org/abs/math/0506487 | |
| dc.identifier | http://arxiv.org/abs/math/0506487 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75573 | |
| dc.subject | Quantum Algebra | |
| dc.title | Formality theorem for Lie bialgebras and quantization of coboundary r-matrices | |
| dc.type | text |