Affine coordinates and Virasoro unitarizing measures.

DOI10.1016/S0021-7824(03)00028-XzbMath1062.30020MaRDI QIDQ1408907

Hélène Airault

Publication date: 25 September 2003

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

zbMATH Keywords

Schwarzian derivativeRicci curvatureVirasoro algebraFaber polynomialstracescoefficientsdiffeomorphism groupresidue calculusKirillov methodasymptotic expansion of the Schwarzian derivativecoalescence of poles in generating functionsdifferential calculus on generating functionsdifferential forms on quotient manifoldhomographic transformationsintegration by parts for unitarizing measures of the Virasoro algebramanifold of univalent functionsNeretin polynomialsTeich\-mül\-ler space

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) General theory of univalent and multivalent functions of one complex variable (30C55) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Cites Work

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• Geometric approach to discrete series of unirreps for Vir
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• Unitarizing probability measures for representations of Virasoro algebra
• An algebra of diffential operators and generating functions on the set of univalent functions
• Support of Virasoro unitarizing measures.
• HOLOMORPHIC EXTENSIONS OF REPRESENTATIONS OF THE GROUP OF DIFFEOMORPHISMS OF THE CIRCLE
• The Ricci curvature of Diff S1/SL(2, R)

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