Classification of flexible composition algebras, I
Conference
·
· Hadronic J.; (United States)
OSTI ID:6293813
The following theorem has been proven. Let A be a finite-dimensional flexible composition algebra over a field F of characteristic not equal to 2, and not equal to 3. Then, A must be either a Hurwitz, or a para-Hurwitz, or a pseudo-octonion algebra. If the field F is of characteristic 2, then the dimension of a composition algebra is arbitrary in contrast to the standard dimensionality of 1, 2, 4, or 8. Finally, it is shown that any finite-dimensional flexible composition algebra over a field F of any characteristic is automatically a Malcev-admissible algebra.
- Research Organization:
- Univ. of Rochester, NY
- OSTI ID:
- 6293813
- Report Number(s):
- CONF-820136-
- Journal Information:
- Hadronic J.; (United States), Journal Name: Hadronic J.; (United States) Vol. 5:4; ISSN HAJOD
- Country of Publication:
- United States
- Language:
- English
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