Continuity conditions for finite-dimensional representations of connected locally compact groups |
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| Authors: | A. I. Shtern |
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| Affiliation: | 1. Department of Mechanics and Mathematics, Moscow State University, Moscow, 119991, Russia
2. Institute of Systems Research (VNIISI), Russian Academy of Sciences, Moscow, 117312, Russia
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| Abstract: | We obtain simple necessary and sufficient conditions for the continuity of a locally bounded finite-dimensional representation of a connected locally compact group. We also prove that the discontinuity group of a locally bounded finite-dimensional representation of a connected locally compact group is a central subgroup in the closure of the image. |
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