Dimension and classification of general composition algebras
Conference
·
· Hadronic J.; (United States)
OSTI ID:6644969
Any finite-dimensional composition algebra A over a field F of characteristic not 2 is proven to have dimensions only 1, 2, 4, or 8. If we also stipulate that A is a flexible division algebra over a cubically closed field F, then the algegra A must be either a Hurwitz, a para-Hurwitz, or an eight-dimensional pseudo-octonion algegra. Also, it has been proven that any power-associative composition algebra over a field F of characteristic not equal to 2, and not equal to 3 must be a Hurwitz algebra, if A is finite-dimensional. Some new division algebras were constructed from any division-composition algebra.
- Research Organization:
- Univ. of Rochester, NY
- DOE Contract Number:
- AC02-76ER13065
- OSTI ID:
- 6644969
- Report Number(s):
- CONF-8008162-
- Conference Information:
- Journal Name: Hadronic J.; (United States) Journal Volume: 4:2
- Country of Publication:
- United States
- Language:
- English
Similar Records
Classification of flexible composition algebras, I
Classification of flexible composition algebras, II
Deformation of the Lie-admissible pseudo-octonion algebra into the octonion algebra
Conference
·
Tue Jun 01 00:00:00 EDT 1982
· Hadronic J.; (United States)
·
OSTI ID:6293813
Classification of flexible composition algebras, II
Conference
·
Tue Jun 01 00:00:00 EDT 1982
· Hadronic J.; (United States)
·
OSTI ID:6293801
Deformation of the Lie-admissible pseudo-octonion algebra into the octonion algebra
Journal Article
·
Thu Nov 30 23:00:00 EST 1978
· Hadronic J.; (United States)
·
OSTI ID:6446542