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The Derivation Algebra of M48(C)

Published online by Cambridge University Press:  20 November 2018

Edgar G. Goodaire  and
Roy C. Snell
Edgar G. Goodaire
Affiliation:
Memorial University, St. John's, Newfoundland, Canada
Roy C. Snell
Affiliation:
Royal Roads Military College, F.M.O. Victoria, B.C., Canada
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Let C by a Cayley-Dickson algebra over an algebraically closed field F of characteristic 0. A multiplication table for a basis of this 8-dimensional alternative algebra can be found in [3], page 137, where we take α = β = γ = — 1.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 17 , Issue 3 , 01 September 1974 , pp. 375 - 378
Copyright
Copyright © Canadian Mathematical Society 1974

References

1. Albert, A. A., A Theory of Commutative Power-Associative Algebras, Trans. Amer. Math. Soc. 69 (1950), 503-527.Google Scholar
2. Jacobson, N., “Lie Algebras”, Interscience, New York, 1962.Google Scholar
3. Kleinfeld, E., A Characterization of the Cayley Numbers, “Studies in Modern Algebra“ (A. A. Albert, Editor), Studies in Mathematics, Vol. 2, Math. Assoc, of America, Prentice-Hall, New Jersey, 1963, 126-143.Google Scholar
4. Schafer, R. D., The Exceptional Simple Jordan Algebras, Amer. J. Math. 70 (1948), 82-94.Google Scholar