Unitarizing probability measures for representations of Virasoro algebra

DOI10.1016/S0021-7824(01)01220-XzbMath1032.58021MaRDI QIDQ1606246

Paul Malliavin, Hélène Airault

Publication date: 24 July 2002

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

zbMATH Keywords

Teichmüller spaceVirasoro algebraNeretin polynomialsKirillov actionunitarizing probability measure

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Diffusion processes and stochastic analysis on manifolds (58J65) Stochastic calculus of variations and the Malliavin calculus (60H07) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Measures (Gaussian, cylindrical, etc.) on manifolds of maps (58D20)

Related Items (30)

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Cites Work

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• Orbital theory for affine Lie algebras
• Universal Teichmüller space and Diff S\({}^ 1/S^ 1\)
• Geometric approach to discrete series of unirreps for Vir
• QUANTIZATION IN COMPLEX SYMMETRIC SPACES
• The canonic diffusion above the diffeomorphism group of the circle

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