Abstract
Classical Cayley-Dickson algebras are inner product algebras with certain additional properties. We investigate which combinations of these properties characterize classical Cayley-Dickson algebras among inner product algebras.
Supported in part by the Slovenian Ministry of Science.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
I. Kaplansky, Noimed algebras, Duke. Math. J. 16 (1949), 399–418.
R.D. Schafer, An Introduction to Nonassociative Algebras, Academic Press, 1966.
K. Urbanik and F.B. Wright, Absolute valued algebras, Proc. Amer. Math. Soc. 11 (1960), 861–866.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1994 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Zalar, B. (1994). Inner Product Characterizations of Classical Cayley-Dickson Algebras. In: González, S. (eds) Non-Associative Algebra and Its Applications. Mathematics and Its Applications, vol 303. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0990-1_68
Download citation
DOI: https://doi.org/10.1007/978-94-011-0990-1_68
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4429-5
Online ISBN: 978-94-011-0990-1
eBook Packages: Springer Book Archive