Double quantization of CPn type orbits by generalized Verma modules
نویسنده
چکیده
It is known that symmetric orbits in g∗ for any simple Lie algebra g are equiped with a Poisson pencil generated by the Kirillov-Kostant-Souriau bracket and the reduced Sklyanin bracket associated to the ”canonical” R-matrix. We realize quantization of this Poisson pencil on CPn type orbits (i.e. orbits in sl(n + 1)∗ whose real compact form is CPn) by means of q-deformed Verma modules. AMS Mathematics Subject Classification, 1991 : 17B37, 81R50
منابع مشابه
Quantum coadjoint orbits of GL(n) and generalized Verma modules
In our previous paper, we constructed an explicit GL(n)-equivariant quantization of the Kirillov–Kostant-Souriau bracket on a semisimple coadjoint orbit. In the present paper, we realize that quantization as a subalgebra of endomorphisms of a generalized Verma module. As a corollary, we obtain an explicit description of the annihilators of generalized Verma modules over U (
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