Square integrable representations and nilmanifolds

DOI10.1016/0022-1236(81)90041-0zbMath0482.22007OpenAlexW2023915580MaRDI QIDQ1162609

Richard C. Penney

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0022-1236(81)90041-0

zbMATH Keywords

nilpotent Lie groupsquare integrable representation

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27)

Related Items (2)

Rational Subspaces of Induced Representations and Nilmanifolds ⋮ A Fourier transform for compact nilmanifolds with flat orbits

Cites Work

• Unnamed Item
• Idempotent measures on abelian groups
• Central idempotent measures on a nilmanifold
• A class of idempotent measures on compact nilmanifolds
• Decomposition of unitary representations defined by discrete subgroups of nilpotent groups
• Rational Subspaces of Induced Representations and Nilmanifolds
• Square Integrable Representations of Nilpotent Groups
• An exposition of the structure of solvmanifolds. Part I: Algebraic theory

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