Casimirs of the Goldman Lie algebra of a closed surface
| dc.creator | Etingof, Pavel | |
| dc.date | 2004-07-29 | |
| dc.date.accessioned | 2026-07-07T05:10:49Z | |
| dc.date.available | 2026-07-07T05:10:49Z | |
| dc.description | In 1986 Goldman introduced a Lie algebra structure on the linear span L of conjugacy classes of the fundamental group of a closed oriented surface. It is easy to see that the class e_1 of the trivial loop is a central element in L. We prove that any central element of L is a multiple of e_1 (a conjecture communicated to the author by Chas and Sullivan), and moreover that any central element of the Poisson algebra SL is a polynomial of e_1. | |
| dc.description | 4 pages, latex | |
| dc.identifier | https://arxiv.org/abs/math/0407505 | |
| dc.identifier | http://arxiv.org/abs/math/0407505 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72048 | |
| dc.subject | Quantum Algebra | |
| dc.title | Casimirs of the Goldman Lie algebra of a closed surface | |
| dc.type | text |