Double quantization of CPn type orbits by generalized Verma modules

Authors
Donin, J Gurevich, D Khoroshkin, S
Citation
J. Donin et al., Double quantization of CPn type orbits by generalized Verma modules, J GEOM PHYS, 28(3-4), 1998, pp. 384-406
Citations number
32
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF GEOMETRY AND PHYSICS
ISSN journal
03930440 → ACNP
Volume
28
Issue
3-4
Year of publication
1998
Pages
384 - 406
Database
ISI
SICI code
0393-0440(199812)28:3-4<384:DQOCTO>2.0.ZU;2-N
Abstract
It is known that symmetric orbits in g* far any simple Lie algebra g are eq uipped with a Poisson pencil generated by the Kirillov-Kostant-Souriau brac ket and the reduced Sklyanin bracket associated to the "canonical" R-matrix . We realize quantization of the Poisson pencil on CPn type orbits (i.e. or bits in sl(n + 1)* whose real compact form is CPn) by means of q-deformed V erma modules.