English

Berezin's quantization on flag manifolds and spherical modules

funct-an 2015-04-21 v1 Operator Algebras Quantum Algebra

Abstract

It is shown that the theory of spherical Harish-Chandra modules naturally provides the algebras of covariant, contravariant and mixed symbols on generalized flag manifolds. The general proof of the correspondence principle for all these symbol algebras is given.

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Cite

@article{arxiv.funct-an/9412001,
  title  = {Berezin's quantization on flag manifolds and spherical modules},
  author = {A. V. Karabegov},
  journal= {arXiv preprint arXiv:funct-an/9412001},
  year   = {2015}
}

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20 pages