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Pseudoriemannian symmetric spaces: one-type realizations and open embeddings to grassmannians

Yu. A. Neretin
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Abstract

We show that each classical pseudoriemann symmetric space G/H can be realized as space of pairs of complementary subspaces in a linear space. For each classical symmetric space we construct an open embedding to a grassmannian or to a product of two grassmanianns. We also show that the representation of the group G in L^2 on G/H is equivalent to restriction of a degenerated principal series representation of some group Q containing G.

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BibTeXRIS

Yu. A. Neretin. 1999-05-04. Pseudoriemannian symmetric spaces: one-type realizations and open embeddings to grassmannians. https://doi.org/10.1023/a%3A1012429825713

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