On a complex semigroup containing the group of diffeomorphisms of a circle

DOI10.1007/BF01078036zbMath0628.58004OpenAlexW1978573288MaRDI QIDQ1093216

Yuriĭ A. Neretin

Publication date: 1987

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01078036

zbMATH Keywords

complex semigrouporientation-preserving analytic diffeomorphism

Mathematics Subject Classification ID

Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (4)

The group of diffeomorphisms of the circle: reproducing kernels and analogs of spherical functions ⋮ On the action of Virasoro algebra on the space of univalent functions ⋮ Universal Teichmüller space in geometry and physics ⋮ Smoothing operators and C∗-algebras for infinite dimensional Lie groups

Cites Work

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• Projective unitary positive-energy representations of \(Diff(S^ 1)\)
• Deformations of bouquets of quasihomogeneous one-dimensional singularities

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