On universal enveloping algebras in a topological setting

DOI10.4064/SM8003-12-2015zbMath1345.22002arXiv1402.0186OpenAlexW2964194439MaRDI QIDQ2787140

Daniel Beltiţă, Mihai Nicolae

Publication date: 24 February 2016

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.0186

zbMATH Keywords

topological groupdistributionconvolutionenveloping algebradifferential operatorsmooth functiontest functionexponential law

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Infinite-dimensional Lie (super)algebras (17B65) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Analysis on general topological groups (22A10) Analysis on and representations of infinite-dimensional Lie groups (22E66)

Related Items (2)

Amenability and representation theory of pro-Lie groups ⋮ Differentiability along one-parameter subgroups compared to differentiability on Lie groups as manifolds

Cites Work

• The convenient setting for Denjoy-Carleman differentiable mappings of Beurling and Roumieu type
• Topologies for function spaces
• On differentiability of vectors in Lie group representations
• Moment convexity of solvable locally compact groups
• Grundfunktionen und verallgemeinerte Funktionen auf topologischen Gruppen II
• Sophus Lie's Third Fundamental Theorem and the Adjoint Functor Theorem
• Universelle umhüllende Algebra einer lokal kompakten Gruppe und ihre selbstadjungierte Darstellungen. Anwendungen
• Local Automorphisms are Differential Operators on Some Banach Spaces
• Unnamed Item
• Unnamed Item

This page was built for publication: On universal enveloping algebras in a topological setting