Connected Lie groups having faithful locally bounded (not necessarily continuous) finite-dimensional representations |
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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: | In the paper, it is proved that a connected Lie group admits a (possibly discontinuous) faithful finite-dimensional representation if and only if it admits a continuous faithful finite-dimensional representation, i.e., if and only if it is a linear Lie group. |
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