Journal of Lie Theory Vol. 13, No. 2, pp. 565572 (2003) 

Stein extensions of Riemann symmetric spaces and its generalizationToshihiko MatsukiAbstract: We give a proof that the AkhiezerGindikin domain $D$ is contained in the ``Iwasawa domain''. A proof of this containment was given by Huckleberry using complex analysis. By contrast, we need no complex analysis in this paper. In fact, we prove a theorem generalized for two associated symmetric subgroups in real Lie groups. Moreover, by the symmetry of two associated symmetric subgroups, we can also give a direct proof of the known fact that the AkhiezerGindikin domain $D$ is contained in all cycle spaces. Full text of the article:
Electronic version published on: 26 May 2003. This page was last modified: 14 Aug 2003.
© 2003 Heldermann Verlag
