Representations of Nilpotent Lie Groups via Measurable Dynamical Systems

被引：0

作者：

Beltita, Ingrid ^{[1
]}

Beltita, Daniel ^{[1
]}

机构：

[1] Romanian Acad, Inst Math Simion Stoilow, Bucharest, Romania

来源：

GEOMETRIC METHODS IN PHYSICS | 2016年

关键词：

Dynamical system; ergodic action; semidirect product;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：95 / 104

页数：10