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Additional
Riemannian symmetric space
English Wikipedia - The Free Encyclopedia
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Symmetric space
In
differential geometry
,
representation theory
and
harmonic analysis
, a
symmetric space
is a
smooth manifold
whose group of symmetries contains an 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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