On an invariance property of the space of smooth vectors

DOI10.1215/21562261-3089019zbMath1325.22012arXiv1401.3072OpenAlexW2144077305MaRDI QIDQ500815

Christoph Zellner, Hadi Salmasian, Karl-Hermann Neeb

Publication date: 5 October 2015

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

Full work available at URL: https://arxiv.org/abs/1401.3072

zbMATH Keywords

automorphismspectrumunitary representationLie groupcompletesmooth vectorweight decomposition

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Infinite-dimensional Lie (super)algebras (17B65) 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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Ground state representations of topological groups

Cites Work

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• Positive definite superfunctions and unitary representations of Lie supergroups
• On differentiable vectors for representations of infinite dimensional Lie groups
• Towards a Lie theory of locally convex groups
• On groups of automorphisms of operator algebras
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• Holomorphic Realization of Unitary Representations of Banach–Lie Groups
• Classification of Positive Energy Representations of the Virasoro Group
• The inverse function theorem of Nash and Moser
• Introduction to Lie Algebras and Representation Theory

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