Satake Diagrams and Restricted Root Systems of Semisimple Pseudo-Riemannian Symmetric Spaces
Kurando BABA
Source: Tokyo J. of Math.
Volume 32, Number 1
(2009), 127-158.
Abstract
In this paper, we complete the lists of Satake diagrams and restricted root systems (including signatures of roots) for all classical semisimple pseudo-Riemannian symmetric spaces, which were classified by M. Berger.
We also complete the list of the cohomogeneities of the linear isotropy representations of the spaces.
Primary Subjects: 53C35
Secondary Subjects: 17B20
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.tjm/1249648414
Digital Object Identifier: doi:10.3836/tjm/1249648414
Zentralblatt MATH identifier:
05604240
Mathematical Reviews number (MathSciNet):
MR2541161
References
M. Berger, Les espaces symétriques noncompacts, Ann. Sci. École Norm. Sup., 74 (1957), 85--177.
Mathematical Reviews (MathSciNet):
MR104763
S. Helgason, Differential geometry, Lie groups, and symmetric spaces, Graduate Studies in Mathematics, vol. 34, American Mathematical Society, 2001.
K. Kondo, Local orbit types of $S$-representations of symmetric $\bf R$-spaces, Tokyo J. Math., 26 (2003), 67--81.
O. Loos, Symmetric spaces. II: Compact spaces and classification, W. A. Benjamin, Inc., New York-Amsterdam,, 1969.
Mathematical Reviews (MathSciNet):
MR239006
T. Oshima and J. Sekiguchi, The restricted root system of a semisimple symmetric pair, Adv. Stud. Pure Math., 4 (1984), 433--497.
Mathematical Reviews (MathSciNet):
MR810638
W. Rossmann, The structure of semisimple symmetric spaces, Canad. J. Math., 31 (1979), 157--180.
Mathematical Reviews (MathSciNet):
MR518716
H. Tamaru, The local orbit types of symmetric spaces under the actions of the isotropy subgroups, Differential Geom. Appl., 11 (1999), 29--38.
