Representations of nilpotent Lie groups via measurable dynamical systems

Ingrid Beltita; Daniel Beltita

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arXiv · 1510.05272

Representations of nilpotent Lie groups via measurable dynamical systems

Ingrid Beltita·Daniel Beltita

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Abstract

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.

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BibTeX RIS

Ingrid Beltita, Daniel Beltita. 2015-10-18. Representations of nilpotent Lie groups via measurable dynamical systems. https://arxiv.org/abs/1510.05272

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