2009•Asian-European Journal of MathematicsRequires access

JORDAN SYMMETRIC SPACES

Cho-Ho Chu

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Abstract

We introduce a class of Riemannian symmetric spaces, called Jordan symmetric spaces, which correspond to real Jordan triple systems and may be infinite dimensional. This class includes the symmetric R-spaces as well as the Hermitian symmetric spaces.

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We introduce a class of Riemannian symmetric spaces, called Jordan symmetric spaces, which correspond to real Jordan triple systems and may be infinite dimensional. This class includes the symmetric R-spaces as well as the Hermitian symmetric spaces.

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Available abstract

We introduce a class of Riemannian symmetric spaces, called Jordan symmetric spaces, which correspond to real Jordan triple systems and may be infinite dimensional. This class includes the symmetric R-spaces as well as the Hermitian symmetric spaces.

Key concepts: Triple system, Hermitian matrix, Class (philosophy), Hermitian symmetric space, Pure mathematics, Mathematics, Complete homogeneous symmetric polynomial, Symmetric space

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