2016 | OriginalPaper | Buchkapitel
Representations of Nilpotent Lie Groups via Measurable Dynamical Systems
verfasst von : Ingrid Beltiţă, Daniel Beltiţă
Erschienen in: Geometric Methods in Physics
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We study unitary representations associated to cocycles of measurable dynamical systems. Our main result establishes conditions on a cocycle, ensuring that ergodicity of the dynamical system under consideration is equivalent to irreducibility of its corresponding unitary representation. This general result is applied to some representations of finite-dimensional nilpotent Lie groups and to some representations of infinite-dimensional Heisenberg groups.