Restrictions of irreducible unitary representations of nilpotent Lie groups to lattices

DOI10.1006/jfan.1999.3473zbMath0947.22006OpenAlexW2010254059MaRDI QIDQ1961221

P. Driutti, Mohammed El Bachir Bekka

Publication date: 6 November 2000

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1999.3473

zbMATH Keywords

latticenilpotent Lie groupunitary representationsirreducible

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Discrete subgroups of Lie groups (22E40) Character groups and dual objects (43A40)

Related Items (2)

On the irreducibility of some restrictions in nilpotent Lie groups ⋮ On the rational closure of connected closed subgroups of connected simply connected nilpotent Lie groups

Cites Work

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• Induced representation of locally compact groups. I
• Q.U.P. and Paley-Wiener properties of unimodular, especially nilpotent, Lie groups
• Induced Representations of Discrete Groups
• UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
• Uniform convergence and decay of Fourier series on compact nilmanifolds
• Decomposition of the L 2 -Space of a General Compact Nilmanifold
• On Induced Representations of Groups

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