Non-homeomorphic nilmanifolds with identical unitary spectrum

DOI10.1006/jfan.1996.3009zbMath0874.22008OpenAlexW1991107018MaRDI QIDQ676200

Colathur R. Vijayan

Publication date: 11 November 1997

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

Full work available at URL: https://doi.org/10.1006/jfan.1996.3009

zbMATH Keywords

Lie algebranilpotent Lie groupcoadjoint orbitscocompact subgroup

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Unitary representations of locally compact groups (22D10) Nilpotent and solvable Lie groups (22E25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Equivalence of quasi-regular representations of two and three-step nilpotent Lie groups
• Square Integrable Representations of Nilpotent Groups
• On Frobenius Reciprocity for Unipotent Algebraic Groups Over Q
• Decomposition of the L 2 -Space of a General Compact Nilmanifold