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

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

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.

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Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2007-04
Hauptverfasser: Airault, Helene, Neretin, Yuri A
Format: Artikel
Sprache:eng
Schlagworte:
Differential equations
Mathematical analysis
Mathematics - Mathematical Physics
Mathematics - Representation Theory
Operators (mathematics)
Physics - Mathematical Physics
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Zusammenfassung: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0704.2149