Kontsevich quantization and invariant distributions on Lie groups
| dc.creator | Andler, Martin | |
| dc.creator | Dvorsky, Alexander | |
| dc.creator | Sahi, Siddhartha | |
| dc.date | 1999-10-20 | |
| dc.date.accessioned | 2026-07-07T05:31:14Z | |
| dc.date.available | 2026-07-07T05:31:14Z | |
| dc.description | We study Kontsevich's deformation quantization for the dual of a finite-dimensional real Lie algebra (or superalgebra) g. In this case the Kontsevich star-product defines a new convolution on S(g), regarded as the space of distributions supported at 0 in g. For p in S(g), we show that the convolution operator f->f*p is a differential operator with analytic germ. We use this fact to prove a conjecture of Kashiwara and Vergne on invariant distributions on a Lie group. This yields a new proof of Duflo's result on local solvability of bi-invariant differential operators on a Lie group. Moreover, this new proof extends to Lie supergroups. | |
| dc.description | 22 pages, LaTeX. This is an expanded version of math.QA/9905065 | |
| dc.identifier | https://arxiv.org/abs/math/9910104 | |
| dc.identifier | http://arxiv.org/abs/math/9910104 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79264 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Differential Geometry | |
| dc.subject | Representation Theory | |
| dc.title | Kontsevich quantization and invariant distributions on Lie groups | |
| dc.type | text |