Quantization of function algebras on semisimple orbits in $\g^*$
| dc.creator | Donin, Joseph | |
| dc.creator | Gurevich, Dmitry | |
| dc.creator | Shnider, Steven | |
| dc.date | 1996-07-08 | |
| dc.date.accessioned | 2026-07-07T09:17:11Z | |
| dc.date.available | 2026-07-07T09:17:11Z | |
| dc.description | In this paper we describe a multiparameter deformation of the function algebra of a semisimple coadjoint orbit. In the first section we use the representation of the Lie algebra on a generalized Verma module to quantize the Kirillov bracket on the family of semisimple coadjoint orbits of a given orbit type. In the second section we extend this construction to define a deformation in the category of representations of the quantized enveloping algebra. In an earlier paper we used cohomological methods to prove the existence of a two parameter family quantizing a compatible pair of Poisson brackets on any symmetric coadjoint orbit. This paper gives a more explicit algebraic construction which includes more general orbit types and which we prove to be flat in all parameters. | |
| dc.description | Latex, 9 pages | |
| dc.identifier | https://arxiv.org/abs/q-alg/9607008 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9607008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153577 | |
| dc.subject | Quantum Algebra | |
| dc.title | Quantization of function algebras on semisimple orbits in $\g^*$ | |
| dc.type | text |