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arXiv · 0710.4385

Non-measurable automorphisms of Lie groups relative to the real- and non-archimedean-valued measures

S. V. Ludkovsky
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Abstract

In this work the problem about an existence of non-measurable automorphisms of Lie groups finite and as well infinite dimensional over the field of real numbers and also over the non-archimedean local fields is investigated. Non-measurability of automorphisms is considered relative to real-valued measures and also measures with values in non-archimedean local fields. Their existence is proved and a procedure for their construction is given. Their application for a construction of non-measurable irreducible unitary representations is demonstrated.

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S. V. Ludkovsky. 2007-10-24. Non-measurable automorphisms of Lie groups relative to the real- and non-archimedean-valued measures. https://arxiv.org/abs/0710.4385

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