The group of local biholomorphisms of ℂ1 and conformal field theory in the operator formalism

@article{Budzyski1989TheGO,
  title={The group of local biholomorphisms of ℂ1 and conformal field theory in the operator formalism},
  author={Robert J. Budzyński and Sławomir Klimek and Paweł Sadowski},
  journal={Communications in Mathematical Physics},
  year={1989},
  volume={120},
  pages={481-499}
}
Motivated by the operator formulation of conformal field theory on Riemann surfaces, we study the properties of the infinite dimensional group of local biholomorphic transformations (conformal reparametrizations) of ℂ1 and develop elements of its representation theory. 

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