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Some Remarks on the Exceptional Simple Lie Group

Published online by Cambridge University Press:  22 January 2016

Yozô Matsushima
Yozô Matsushima*
Affiliation:
Mathematical Institute, Nagoya University
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Let be the Cayley algebra of dimension 8 over the field R of real numbers and let be the set of all 3 × 3 Hermitian matrices

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 4 , June 1952 , pp. 83 - 88
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1952

References

[1] Borel, A., Le plan projectif des octaves et les sphères comme espaces homogènes, C. R. Paris, (1950).Google Scholar
[2] Chevalley, C. and Schafer, R. D., The exceptional simple Lie algebras F 4 and E 6 , Proc. Nat. Acad. Sci. U.S.A. 36 (1950).Google Scholar
[3] Freudenthal, H., Oktaven, Ausnahmegruppen und Oktavengeometrie, Mathematisch Institute der Rijksuniversiteit te Utrecht, (1951).Google Scholar
[4] Hirsch, G., La géométrie projective et la topologie des espaces fibrés, Colloque international de topologie algebrique, Paris, (1947).Google Scholar