Abstract
Let ? be the function algebra on a semisimple orbit, M, in the coadjoint representation of a simple Lie group, g, with the Lie algebra ?. We study one and two parameter quantizations ?h and ?t,h of ? such that the multiplication on the quantized algebra is invariant under action of the Drinfeld–Jimbo quantum group, Uh(?). In particular, the algebra ?t,h specializes at h= 0 to a U(?)-invariant ($G$-invariant) quantization, %Ascr;t,0.
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