1998/03/31 by J. Donin, Dimitri Gurevich, D. Gurevich +1
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #math.QA
paper · pdf · doi:10.1016/s0393-0440(98)00025-4
21 pages, LaTeX, no figures
arxiv created 1998/03/31 · openalex publication_date 1998/12/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
It is known that symmetric orbits in \bf g^* for any simple Lie algebra \bf 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 \cp type orbits (i.e. orbits in sl(n+1)^* whose real compact form is CPn) by means of q-deformed Verma modules.