Semibounded representations and invariant cones in infinite dimensional Lie algebras

DOI10.1142/S1793744210000132zbMath1186.22023arXiv0911.4412OpenAlexW2963822732MaRDI QIDQ961651

Karl-Hermann Neeb

Publication date: 1 April 2010

Published in: Confluentes Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.4412

zbMATH Keywords

unitary representationmetaplectic representationVirasoro algebraspin representationmomentum mapinfinite dimensional Lie groupsemibounded representationmomentum set

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)

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Elements in pointed invariant cones in Lie algebras and corresponding affine pairs ⋮ Fusion of implementers for spinors on the circle ⋮ Schur-Weyl Theory for C *-algebras ⋮ On differentiable vectors for representations of infinite dimensional Lie groups ⋮ Oscillator algebras with semi-equicontinuous coadjoint orbits ⋮ Generalized positive energy representations of groups of jets ⋮ The Clifford algebra bundle on loop space ⋮ Unnamed Item ⋮ Semibounded unitary representations of double extensions of Hilbert-loop groups ⋮ Projective unitary representations of infinite-dimensional Lie groups ⋮ Book review of: A. Kosyak, Regular, quasi-regular and induced representations of infinite-dimensional groups ⋮ Holomorphic Realization of Unitary Representations of Banach–Lie Groups ⋮ Smoothing operators and C∗-algebras for infinite dimensional Lie groups

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