Compact weakly symmetric spaces and spherical pairs

DOI10.1090/S0002-9939-00-05425-3zbMath0976.53056arXivmath/9808039OpenAlexW1515895613MaRDI QIDQ4505899

Hieu D. Nguyen

Publication date: 3 October 2000

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9808039

zbMATH Keywords

irreducible representationinvariant differential operatorsGelfand pairweakly symmetric spacespherical pair

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Differential geometry of symmetric spaces (53C35)

Related Items (3)

Irreducibility of the Laplacian eigenspaces of some homogeneous spaces ⋮ On \(\delta \)-homogeneous Riemannian manifolds ⋮ Geodesic orbit Riemannian spaces with two isotropy summands. I

Cites Work

• Weakly symmetric spaces and spherical varieties
• Symmetric spaces and strongly isotropy irreducible spaces
• Weakly symmetric spaces and bounded symmetric domains
• Realization of Hermitian symmetric spaces as generalized half-planes
• An infinitesimal characterization of Gel′fand pairs
• Spherical Functions on a Simply Connected Semisimple Lie Group
• Commutative Spaces Which are Not Weakly Symmetric
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