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math.QA1998★ 1 cited
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…
math.QA1998★ 9 cited
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…