Continuity of LF-algebra representations associated to representations of Lie groups

DOI10.1215/21562261-2265895zbMath1279.22015arXiv1203.3418OpenAlexW2050606119WikidataQ115240638 ScholiaQ115240638MaRDI QIDQ371221

Helge Glöckner

Publication date: 30 September 2013

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

Full work available at URL: https://arxiv.org/abs/1203.3418

zbMATH Keywords

representationLie groupanalytic vectorssmooth vectorstopological module

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Rings and algebras of continuous, differentiable or analytic functions (46E25) Other representations of locally compact groups (22D12)

Related Items (5)

Detecting topological groups which are (locally) homeomorphic to LF-spaces ⋮ Corrigendum: Analytic representation theory of Lie groups: general theory and analytic globalizations of Harish-Chandra modules ⋮ Factorization in Denjoy-Carleman classes associated to representations of \((\mathbb{R}^d, +)\) ⋮ Differential calculus on multiple products ⋮ Differentiable mappings on products with different degrees of differentiability in the two factors

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