Proceedings of the Japan Academy, Series A, Mathematical Sciences

Classification of irreducible symmetric spaces which admit standard compact Clifford–Klein forms

Koichi Tojo

Abstract

We give a classification of irreducible symmetric spaces which admit standard compact Clifford–Klein forms. The method uses representation theory over the real number field and the criterion for properness and cocompactness of the action on homogeneous spaces due to T. Kobayashi.

Article information

Source
Proc. Japan Acad. Ser. A Math. Sci., Volume 95, Number 2 (2019), 11-15.

Dates
First available in Project Euclid: 1 February 2019

https://projecteuclid.org/euclid.pja/1548990026

Digital Object Identifier
doi:10.3792/pjaa.95.11

Mathematical Reviews number (MathSciNet)
MR3905124

Citation

Tojo, Koichi. Classification of irreducible symmetric spaces which admit standard compact Clifford–Klein forms. Proc. Japan Acad. Ser. A Math. Sci. 95 (2019), no. 2, 11--15. doi:10.3792/pjaa.95.11. https://projecteuclid.org/euclid.pja/1548990026

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