Harmonic Analysis in One-Parameter Metabelian Nilmanifolds

Let G be a connected, simply connected one-parameter metabelian nilpotent Lie group, that means, the corresponding Lie algebra has a one-codimensional abelian subalgebra. In this article we show that G contains a discrete cocompact subgroup. Given a discrete cocompact subgroup Γ of G, we define the...

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Bibliographic Details
Main Author: Amira Ghorbel
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2011-02-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2011.021

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