Oscillator algebras with semi-equicontinuous coadjoint orbits

DOI10.1016/j.difgeo.2012.10.010zbMath1279.22016arXiv1110.1550OpenAlexW2963388010WikidataQ115356651 ScholiaQ115356651MaRDI QIDQ383803

Christoph Zellner, Karl-Hermann Neeb

Publication date: 6 December 2013

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.1550

zbMATH Keywords

coadjoint orbitcomplex structureoscillator groupinfinite dimensional Lie groupsemibounded 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 (6)

On differentiable vectors for representations of infinite dimensional Lie groups ⋮ Ground state representations of topological groups ⋮ Filiform Lie algebras with low derived length ⋮ Covariant representations for possibly singular actions on $C^*$-algebras ⋮ POSITIVE ENERGY REPRESENTATIONS AND CONTINUITY OF PROJECTIVE REPRESENTATIONS FOR GENERAL TOPOLOGICAL GROUPS ⋮ Smoothing operators and C∗-algebras for infinite dimensional Lie groups

Cites Work

• Unnamed Item
• Unnamed Item
• On differentiable vectors for representations of infinite dimensional Lie groups
• Semibounded representations and invariant cones in infinite dimensional Lie algebras
• Towards a Lie theory of locally convex groups
• Unitary representations of some infinite dimensional groups
• Lie semigroups and their applications
• Semi-bounded unitary representations of infinite-dimensional Lie groups
• One-Parameter Semigroups for Linear Evolution Equations
• Further Representations of the Canonical Commutation Relations
• Translation Group and Particle Representations in Quantum Field Theory
• QUANTUM ENERGY INEQUALITIES IN TWO-DIMENSIONAL CONFORMAL FIELD THEORY
• The λφ24 Quantum Field Theory without Cutoffs. IV. Perturbations of the Hamiltonian
• Representation theory and convexity

This page was built for publication: Oscillator algebras with semi-equicontinuous coadjoint orbits