Octonion as traceless 3 x 3 matrices via a flexible Lie-admissible algebra
Journal Article
·
· Hadronic J.; (United States)
OSTI ID:6486389
We are investigating a new non-associative algebra which is a flexible and Lie-admissible algebra satisfying a cubic relation with a bi-linear symmetric associative form. We can show then that this algebra is pseudo-alternative and hence can be deformed into an alternative algebra with the unit element. As an application, we demonstrate that octonion algebra can be realized in terms of traceless 3 x 3 matrices over a field F which is not of characteristic two nor three.
- Research Organization:
- Univ. of Rochester, NY
- DOE Contract Number:
- AC02-76ER13065
- OSTI ID:
- 6486389
- Journal Information:
- Hadronic J.; (United States), Journal Name: Hadronic J.; (United States) Vol. 1:5; ISSN HAJOD
- Country of Publication:
- United States
- Language:
- English
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