Abstract
The octonion algebra, O, is generally developed as an extension of the quaternion algebra, Q. Let q i , i= 1,2,3, be a conventional basis for the hypercomplex quaternions. These elements associate, anticommute, and satisfy q 2i = -1.
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© 1994 Springer Science+Business Media Dordrecht
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Dixon, G.M. (1994). Division Algebras Alone. In: Division Algebras. Mathematics and Its Applications, vol 290. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-2315-1_2
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DOI: https://doi.org/10.1007/978-1-4757-2315-1_2
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4419-4746-8
Online ISBN: 978-1-4757-2315-1
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