On the analytic structure of commutative nilmanifolds

DOI10.1007/S12220-015-9582-XzbMath1341.22004arXiv1407.0399OpenAlexW2157138842MaRDI QIDQ282804

Joseph A. Wolf

Publication date: 12 May 2016

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.0399

zbMATH Keywords

Gelfand paircommutative homogeneous spacecommutative nilmanifoldFinsler nilmanifoldFourier inversion formulasquare integrable representationweakly symmetric space

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Analysis on real and complex Lie groups (22E30) Differential geometry of symmetric spaces (53C35) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (2)

Stepwise Square Integrable Representations: The Concept and Some Consequences ⋮ On commutative homogeneous vector bundles attached to nilmanifolds

Cites Work

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• Commutative homogeneous spaces and co-isotropic symplectic actions
• The Plancherel Formula for Minimal Parabolic Subgroups
• An infinitesimal characterization of Gel′fand pairs
• Square Integrable Representations of Nilpotent Groups

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