Stein extensions of Riemann symmetric spaces and some generalization

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dc.creatorMatsuki, Toshihiko
dc.date2002-08-23
dc.date2002-09-12
dc.date.accessioned2026-07-07T04:50:21Z
dc.date.available2026-07-07T04:50:21Z
dc.descriptionIt was proved by Huckleberry that the Akhiezer-Gindikin domain is included in the ``Iwasawa domain'' using complex analysis. But we can see that we need no complex analysis to prove it. In this paper, we generalize the notions of the Akhiezer-Gindikin domain and the Iwasawa domain for two associated symmetric subgroups in real Lie groups and prove the inclusion. Moreover, by the symmetry of two associated symmetric subgroups, we also give a direct proof of the known fact that the Akhiezer-Gindikin domain is included in all cycle spaces.
dc.description8 pages, modified for a new version of a cited preprint
dc.identifierhttps://arxiv.org/abs/math/0208175
dc.identifierhttp://arxiv.org/abs/math/0208175
dc.identifierJ. of Lie Theory 13(2003), 563-570
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64760
dc.subjectRepresentation Theory
dc.subjectAlgebraic Geometry
dc.subject14M15; 22E15; 22E46; 32M05
dc.titleStein extensions of Riemann symmetric spaces and some generalization
dc.typetext

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