13 citations · 23 across the 4 of their papers we have counts for
4 papers
Invariant quantization in one and two parameters on semisimple coadjoint orbits of simple Lie groups
Joseph Donin, Dmitry Gurevich, Steve Shnider
We study one and two parameter quantizations of the function algebra on a semisimple orbit in the coadjoint representation of a simple Lie group subject to the condition that the m…
Double quantization of $\cp$ type orbits by generalized Verma modules
J. Donin, D. Gurevich, S. Khoroshkin
It is known that symmetric orbits in for any simple Lie algebra are equiped with a Poisson pencil generated by the Kirillov-Kostant-Souriau bracket and the re…
Two types of Poisson pencils and related quantum objects
D. Gurevich, J. Donin, V. Rubstov
Two types of Poisson pencils connected to classical R-matrices and their quantum counterparts are considered. A representation theory of the quantum algebras related to some symmet…
Quantization of function algebras on semisimple orbits in $\g^*$
Joseph Donin, Dmitry Gurevich, Steven Shnider
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…