Double quantization of $\cp$ type orbits by generalized Verma modules

J. Donin; D. Gurevich; S. Khoroshkin

doi:10.1016/S0393-0440(98)00025-4

Double quantization of $\cp$ type orbits by generalized Verma modules

量子代数 2009-10-31 v1

作者: J. Donin , D. Gurevich , S. Khoroshkin

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摘要

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 $CP^n$ ) by means of q-deformed Verma modules.

关键词

nilpotent orbits poisson geometry quantum groups

引用

@article{arxiv.math/9803155,
  title  = {Double quantization of $\cp$ type orbits by generalized Verma modules},
  author = {J. Donin and D. Gurevich and S. Khoroshkin},
  journal= {arXiv preprint arXiv:math/9803155},
  year   = {2009}
}

备注

21 pages, LaTeX, no figures

Double quantization of $\cp$ type orbits by generalized Verma modules

摘要

关键词

引用

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