Up-down representations and ergodic theory in nilpotent Lie groups

DOI10.1007/S00229-008-0212-9zbMath1171.22004OpenAlexW2079691734WikidataQ115388381 ScholiaQ115388381MaRDI QIDQ1003143

Hatem Hamrouni

Publication date: 26 February 2009

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-008-0212-9

zbMATH Keywords

nilpotent Lie groupnilflowup-down representation

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Nilpotent and solvable Lie groups (22E25)

Cites Work

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• On the mixed representations of exponential solvable Lie groups
• The up-down formula for nil-homogeneous spaces
• Decomposition of unitary representations defined by discrete subgroups of nilpotent groups
• Flows on Homogeneous Spaces. (AM-53)
• On Frobenius Reciprocity for Unipotent Algebraic Groups Over Q
• An exposition of the structure of solvmanifolds. part II: 𝐺-induced flows
• Decomposition of the L 2 -Space of a General Compact Nilmanifold
• Restricting Representations of Completely Solvable Lie Groups

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