Semibounded unitary representations of double extensions of Hilbert-loop groups

DOI10.5802/aif.2898zbMath1315.22024arXiv1205.5201OpenAlexW2963308064MaRDI QIDQ486825

Karl-Hermann Neeb

Publication date: 16 January 2015

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

Full work available at URL: https://arxiv.org/abs/1205.5201

zbMATH Keywords

Kac-Moody groupinfinite dimensional Lie groupsemibounded representation

Mathematics Subject Classification ID

Loop groups and related constructions, group-theoretic treatment (22E67) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Analysis on and representations of infinite-dimensional Lie groups (22E66)

Related Items (5)

A geometrical setting for geometric phases on complex Grassmann manifolds ⋮ Ground state representations of topological groups ⋮ Loop groups and QNEC ⋮ Representations of \(^\ast\)-algebras by unbounded operators: C\(^\ast\)-hulls, local-global principle, and induction ⋮ Smoothing operators and C∗-algebras for infinite dimensional Lie groups

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