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

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

1999-05-04

arxiv.org/abs/math/9905014v1

Mathematics

Differential Geometry

18 pages

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Pseudoriemannian symmetric spaces: one-type realizations and open embeddings to grassmannians does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Pseudoriemannian symmetric spaces: one-type realizations and open embeddings to grassmannians, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Pseudoriemannian symmetric spaces: one-type realizations and open embeddings to grassmannians will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-257931