On action of the Virasoro algebra on the space of univalent functions

Abstract

We obtain explicit expressions for differential operators defining the action of the Virasoro algebra on the space of univalent functions. We also obtain an explicit Taylor decomposition for Schwarzian derivative and a formula for the Grunsky coefficients.

15p

References in corpus (1)

• Structures of boson and fermion Fock spaces in the space of symmetric functions

Cited by in corpus (1)

• The group of diffeomorphisms of the circle: reproducing kernels and analogs of spherical functions