skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Octonion, pseudo-alternative, and Lie-admissible algebras

Abstract

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.

Authors:
Publication Date:
Research Org.:
Univ. of Rochester, NY
OSTI Identifier:
6789226
Alternate Identifier(s):
OSTI ID: 6789226
DOE Contract Number:  
AC02-76ER13065
Resource Type:
Journal Article
Journal Name:
Hadronic J.; (United States)
Additional Journal Information:
Journal Volume: 2:1
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; LIE GROUPS; ALGEBRA; MATHEMATICS; SYMMETRY GROUPS 658000* -- Mathematical Physics-- (-1987)

Citation Formats

Okubo, S. Octonion, pseudo-alternative, and Lie-admissible algebras. United States: N. p., 1979. Web.
Okubo, S. Octonion, pseudo-alternative, and Lie-admissible algebras. United States.
Okubo, S. Thu . "Octonion, pseudo-alternative, and Lie-admissible algebras". United States.
@article{osti_6789226,
title = {Octonion, pseudo-alternative, and Lie-admissible algebras},
author = {Okubo, S.},
abstractNote = {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.},
doi = {},
journal = {Hadronic J.; (United States)},
number = ,
volume = 2:1,
place = {United States},
year = {1979},
month = {2}
}