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Showing 1 to 2 of 2 for “"compact symmetric spaces"”.
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Compact Symmetric Spaces, Triangular Factorization, and Cayley Coordinates
Let X be a simply connected, compact Riemannian symmetric space. We can represent X as the homogeneous space U/K, where U is a simply connected compact Lie group, and K is the fixed point set of an involution θ of U. Let G be the complexification of U. We consider the intersections of the image of …
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The Segal-Bargmann transform on inductive limits of compact symmetric spaces
… transform on the direct limit of the Hilbert spaces $\{L^2(M_n)^{K_n}\}_n$ where $\{M_n = U_n/K_n\}_n$ is a propagating sequence of symmetric spaces of compact type with the assumption that $U_n$ is simply connected for each $n$. This map is obtained by taking the direct limit of the …