Continuity criterion for locally bounded finite-dimensional representations of simply connected solvable Lie groups

DOI10.1134/S1061920822020066WikidataQ115247670 ScholiaQ115247670MaRDI QIDQ2146361

Alexander I. Shtern

Publication date: 16 June 2022

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

Mathematics Subject Classification ID

Lie groups (22Exx) Locally compact groups and their algebras (22Dxx) Topological and differentiable algebraic systems (22Axx)

Cites Work

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• Continuity criteria for locally bounded automorphisms of central extensions of perfect Lie groups
• Finite-dimensional quasirepresentations of connected Lie groups and Mishchenko's conjecture
• Separate continuity and joint continuity
• Continuity conditions for finite-dimensional locally bounded representations of connected locally compact groups
• Continuity criterion for locally bounded automorphisms of central extensions of perfect Lie groups with discrete center
• Continuity criterion for locally bounded automorphisms of connected reductive Lie groups
• Corrected automatic continuity conditions for finite-dimensional representations of connected Lie groups
• A version of van der Waerden's theorem and a proof of Mishchenko's conjecture on homomorphisms of locally compact groups
• Locally bounded finally precontinuous finite-dimensional quasirepresentations of connected locally compact groups

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