On the infinite dimensional hidden symmetries. II. $q_R$-conformal modular functor

Denis V. Juriev

On the infinite dimensional hidden symmetries. II. $q_R$-conformal modular functor

funct-an 2008-02-03 v1 dg-ga Differential Geometry Operator Algebras Quantum Algebra q-alg

Authors: Denis V. Juriev

Abstract

The article is devoted to the $q_R$ -conformal modular functors, which being ``deformations'' of the conformal modular functor (the projective representation of the category $Train(Diff_+(S^1))$ , the train of the group $Diff_+(S^1)$ of all orientation preserving diffeomorphisms of a circle) in the class of all projective modular functors (the projective representations of the category $Train(PSL(2,R))$ , the train of the projective group $PSL(2,R)$ ), may be regarded as its ``Berezin quantizations''.

Keywords

$q_R$-conformal modular functor conformal modular functor projective representation diffeomorphism group Berezin quantization

Cite

@article{arxiv.funct-an/9701009,
  title  = {On the infinite dimensional hidden symmetries. II. $q_R$-conformal modular functor},
  author = {Denis V. Juriev},
  journal= {arXiv preprint arXiv:funct-an/9701009},
  year   = {2008}
}

Comments

23pp, AMSTEX. Part I: funct-an/9612004

On the infinite dimensional hidden symmetries. II. $q_R$-conformal modular functor

Abstract

Keywords

Cite

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