Open Access
VOL. 14 | 1988 Fundamental Groups of Semisimple Symmetric Spaces
Jiro Sekiguchi

Editor(s) K. Okamoto, T. Oshima

Adv. Stud. Pure Math., 1988: 519-529 (1988) DOI: 10.2969/aspm/01410519

Abstract

The aim of this report is to determine the fundamental group of an arbitrary irreducible semisimple symmetric space $G/H$ when $G$ is a connected semisimple Lie group with trivial center. The fundamental group $\pi_1(G/H)$ is well-known if $G/H$ is Riemannian. Therefore, we restrict our attention to the case where $G/H$ is non-Riemannian so both $G$ and $H$ are not compact. The result is summarized in Table 4.

Information

Published: 1 January 1988
First available in Project Euclid: 31 May 2018

zbMATH: 0723.22021
MathSciNet: MR1039850

Digital Object Identifier: 10.2969/aspm/01410519

Rights: Copyright © 1988 Mathematical Society of Japan

PROCEEDINGS ARTICLE
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