On analytic vectors for unitary representations of infinite dimensional Lie groups

DOI10.5802/aif.2660zbMath1241.22023arXiv1002.4792OpenAlexW2964136854WikidataQ115159024 ScholiaQ115159024MaRDI QIDQ416008

Karl-Hermann Neeb

Publication date: 9 May 2012

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.4792

zbMATH Keywords

unitary representationLie algebraLie grouppositive definite functionanalytic vectorintegrable representation

Mathematics Subject Classification ID

Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (7)

Positive definite superfunctions and unitary representations of Lie supergroups ⋮ Continuity of LF-algebra representations associated to representations of Lie groups ⋮ Extension of local positive definite \(\mathbb{Z}_2^n\)-superfunctions ⋮ Properties of field functionals and characterization of local functionals ⋮ Semibounded unitary representations of double extensions of Hilbert-loop groups ⋮ Finite dimensional semigroups of unitary endomorphisms of standard subspaces ⋮ Spherical representations of Lie supergroups

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