English

Complex crowns of Riemannian symmetric spaces and non-compactly causal symmetric spaces

Representation Theory 2007-05-23 v1 Complex Variables

Abstract

In this paper we define a distinguished boundary for the complex crowns Ξ\subeqG\C/K\C\Xi\subeq G_\C /K_\C of non-compact Riemannian symmetric spaces G/KG/K. The basic result is that affine symmetric spaces of GG can appear as a component of this boundary if and only if they are non-compactly causal symmetric spaces.

Keywords

Cite

@article{arxiv.math/0111033,
  title  = {Complex crowns of Riemannian symmetric spaces and non-compactly causal symmetric spaces},
  author = {Simon Gindikin and Bernhard Kroetz},
  journal= {arXiv preprint arXiv:math/0111033},
  year   = {2007}
}

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29 pages