Identities for vector fields in the infinitesimal representation of the symplectic group into the Siegel disk of complex symmetric matrices

DOI10.1016/j.bulsci.2012.02.007zbMath1251.31004OpenAlexW1970367315MaRDI QIDQ713128

Hélène Airault

Publication date: 26 October 2012

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2012.02.007

zbMATH Keywords

symplectic groupHadamard productKähler manifoldLaplacianBerezinian representation

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Potential theory on Riemannian manifolds and other spaces (31C12)

Related Items (3)

Lifted infinitesimal holomorphic representation for the \(n\)-dimensional complex hyperbolic ball and for Cartan domains of type I ⋮ Unitarising measures for the representations of affine group and associated invariant operators ⋮ Ornstein-Uhlenbeck operators and holomorphic representations for a class of bounded symmetric domains

Cites Work

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• Invariant or quasi-invariant probability measures for infinite dimensional groups. II: Unitarizing measures or Berezinian measures
• Geometric approach to discrete series of unirreps for Vir
• Unitarizing probability measures for representations of Virasoro algebra
• Invariant measure for some differential operators and unitarizing measure for the representation of a Lie group. Examples in finite dimension
• QUANTIZATION IN COMPLEX SYMMETRIC SPACES
• Heat Measures and Unitarizing Measures for Berezinian Representations on the Space of Univalent Functions in the Unit Disk

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