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Double quantization of CP type orbits by generalized Verma modules |
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| Authors: | CP |
| Institution: | a Department of Mathematics, Bar-Ilan University, 52900, Ramat-Gan, Israel b ISTV, Université de Valenciennes, 59304, Valenciennes, France c Institute of Theoretical and Experimental Physics, 117259, Moscow, Russian Federation |
| Abstract: | It is known that symmetric orbits in g* for any simple Lie algebra g are equipped 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 the Poisson pencil CPn type orbits (i.e. orbits in sl(n + 1)* whose real compact form is CPn) by means of q-deformed Verma modules. |
| Keywords: | Poisson bracket Poisson pencil R-matrix bracket (Double) quantization Flat deformation Orbit of CPn type (Generalized) Verma module Quantum group (Twisted) Hopf algebra Braided algebra Braided module |
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