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On the action of Virasoro algebra on the space of univalent functions |
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| Authors: | Helene Airault Yuri A. Neretin |
| Affiliation: | a INSSET, Université de Picardie Jules Verne, 48, rue Raspail, 02100 Saint-Quentin (Aisne) Laboratoire CNRS UMR 6140, LAMFA, 33 rue Saint-Leu, 80039 Amiens, France b Department of Mathematics, University of Vienna, Nordbergstrasse, 15, Vienna, Austria c Institute for Theoretical and Experimental Physics, B. Cheremushkinskaya 25, Moscow, Russia 117259 |
| 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. |
| Keywords: | Faber polynomials Schwarzian derivative Virasoro algebra |
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