Connected Lie groups having faithful locally bounded (not necessarily continuous) finite-dimensional representations

DOI10.1134/S1061920809040116zbMath1186.22016WikidataQ115247730 ScholiaQ115247730MaRDI QIDQ2655923

Alexander I. Shtern

Publication date: 27 January 2010

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

connected Lie groupfinite-dimensional representationdiscontinuous representationLinear Lie group

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (6)

Freudenthal-Weil theorem for pro-Lie groups ⋮ Almost convergence and its applications to the Fourier-Stieltjes localization ⋮ Hochschild kernel for locally bounded finite-dimensional representations of a connected Lie group ⋮ Connected locally compact groups: The Hochschild kernel and faithfulness of locally bounded finite-dimensional representations ⋮ Duality between compactness and discreteness beyond Pontryagin duality ⋮ A Freudenthal-Weil theorem for pro-Lie groups

Cites Work

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• Faithful representations and a local property of Lie groups
• Extensions of Representations of Lie Groups and Lie Algebras, I
• The Universal Representation Kernel of a Lie Group
• Faithful Uniformly Continuous Representations of Lie Groups
• Complexification of Real Analytic Groups
• On Faithful Representations of Lie Groups

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