Deforming the Lie algebra of vector fields on $S^1$ inside the Lie algebra of pseudodifferential symbols on $S^1$
| dc.creator | Roger, C. | |
| dc.creator | Ovsienko, V. | |
| dc.date | 1998-12-11 | |
| dc.date.accessioned | 2026-07-07T05:27:13Z | |
| dc.date.available | 2026-07-07T05:27:13Z | |
| dc.description | We classify nontrivial deformations of the standard embedding of the Lie algebra $\Vect(S^1)$ of smooth vector fields on the circle, into the Lie algebra~$\PD(S^1)$ of pseudodifferential symbols on $S^1$. This approach leads to deformations of the central charge induced on $\Vect(S^1)$ by the canonical central extension of $\PD(S^1)$. As a result we obtain a quantized version of the second Bernoulli polynomial. | |
| dc.description | 19 pages, LaTex | |
| dc.identifier | https://arxiv.org/abs/math/9812074 | |
| dc.identifier | http://arxiv.org/abs/math/9812074 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77838 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Differential Geometry | |
| dc.title | Deforming the Lie algebra of vector fields on $S^1$ inside the Lie algebra of pseudodifferential symbols on $S^1$ | |
| dc.type | text |