Nonmeasurable automorphisms of lie groups relative to real- and non-archimedean-valued measures
Identifieur interne : 000162 ( Main/Exploration ); précédent : 000161; suivant : 000163Nonmeasurable automorphisms of lie groups relative to real- and non-archimedean-valued measures
Auteurs : S. V. Ludkovsky [Russie]Source :
- Journal of Mathematical Sciences [ 1072-3374 ] ; 2012-08-01.
Abstract
Abstract: In this paper, we study the problem on the existence of nonmeasurable automorphisms of finite-dimensional and infinite-dimensional Lie groups over the field of real numbers and also over non-Archimedean local fields. The nonmeasurability 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 to the construction of nonmeasurable irreducible unitary representations is demonstrated.
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DOI: 10.1007/s10958-012-0901-5
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