Unitary representations with highest weight of the group of diffeomorphisms of a circle

DOI10.1007/BF01078115zbMath0574.43005OpenAlexW2066750878MaRDI QIDQ1063828

Yuriĭ A. Neretin

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1007/bf01078115

zbMATH Keywords

diffeomorphismLie algebraVerma modulecentral extensioninvariant Hermitian formunitarizationvector fields on a circle

Mathematics Subject Classification ID

Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65)

Related Items

Projective unitary positive-energy representations of \(Diff(S^ 1)\), Some remarks on quasi-invariant actions of loop groups and the group of diffeomorphisms of the circle, The group of diffeomorphisms of the circle: reproducing kernels and analogs of spherical functions, Positive energy representations of Sobolev diffeomorphism groups of the circle, Integrating unitary representations of infinite-dimensional Lie groups

Cites Work

• Unitary representations of some infinite dimensional groups
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