Pseudo-quartenion and pseudo-octonion algebras
Journal Article
·
· Hadronic J.; (United States)
OSTI ID:6554447
Three new flexible Lie-admissible algebras permitting non-degenerate composition have been found. They are not power-associative and do not possess the unit element so as not to contradict the Hurwitz theorem. Moreover, they satisfy a cubic rather than customary quadratic identity enjoyed by the usual quartenion and octonion algebras. Their dimensions are respectively, two, four and eight, so as to justify calling them pseudo-quadratic, pseudo-quartenion, and pseudo-octonion algebras. Also, they satisy some modified Jordan relations.
- Research Organization:
- Univ. of Rochester, New York
- OSTI ID:
- 6554447
- Journal Information:
- Hadronic J.; (United States), Journal Name: Hadronic J.; (United States) Vol. 1:4; ISSN HAJOD
- Country of Publication:
- United States
- Language:
- English
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