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Journal of Generalized Lie Theory and Applications

ISSN: 1736-4337

Journal of Generalized Lie Theory and Applications

Symmetric Spaces

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Symmetric Spaces

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In differential geometry, representation theory and harmonic analysis, a symmetric space is a smooth manifold whose group of symmetries contains inversion symmetry about every point. There are two ways to formulate the inversion symmetry: via Riemannian geometry or via Lie theory. The Lie-theoretic definition is more general and more algebraic.

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