Projective unitary representations of infinite-dimensional Lie groups

DOI10.1215/21562261-2018-0016zbMath1480.22010arXiv1501.00939OpenAlexW1537543197WikidataQ115240646 ScholiaQ115240646MaRDI QIDQ2002623

Bas Janssens, Karl-Hermann Neeb

Publication date: 12 July 2019

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.00939

zbMATH Keywords

infinite-dimensional Lie groupsinfinite-dimensional Lie algebrasunitary representation theory

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Virasoro and related algebras (17B68) Loop groups and related constructions, group-theoretic treatment (22E67) Infinite-dimensional Lie (super)algebras (17B65) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Lie algebras of Lie groups (22E60) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15) Cohomology of Lie (super)algebras (17B56) Analysis on and representations of infinite-dimensional Lie groups (22E66)

Related Items (2)

Generalized positive energy representations of groups of jets ⋮ Ground state representations of topological groups

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