Octonion, pseudo-alternative, and Lie-admissible algebras

Journal Article · Wed Jan 31 23:00:00 EST 1979 · Hadronic J.; (United States)

OSTI ID:6789226

Okubo, S

It has been shown that any octonion algebra can always be derivable from some pseudo-alternative algebra. As examples, both Cayley-Dickson process and Zorn's vector matrix algebra as well as their generalizations have been re-written as pseudo-alternative algebras. Also, an analogue of Cayley-Dickson process for Lie-admissible algebra has been proposed.

• Research Organization: Univ. of Rochester, NY
• DOE Contract Number: AC02-76ER13065
• OSTI ID: 6789226
• Journal Information: Hadronic J.; (United States), Journal Name: Hadronic J.; (United States) Vol. 2:1; ISSN HAJOD
• Country of Publication: United States
• Language: English

Related Subjects

658000* -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRA
LIE GROUPS
MATHEMATICS
SYMMETRY GROUPS