Fundamental realization of Lie-admissible algebras: flexibility, centers, and nuclei
Journal Article
·
· Hadronic J.; (United States)
OSTI ID:6444396
In this paper we study Albert's Lie-admissible algebras in Santilli's fundamental realization B(P,Q) with product M*N = MPN - NQM where P + Q is not equal to 0. We prove that, if B(P,Q) is a not flexible division algebra with a unit element, and it is such that its nucleus and center coincide, then the dimension of the center is higher than one. A number of generalizations and implications of the result are indicated.
- Research Organization:
- Instituto Venezolano de Investigaciones Cientificas, Caracas
- OSTI ID:
- 6444396
- Journal Information:
- Hadronic J.; (United States), Vol. 3:6
- Country of Publication:
- United States
- Language:
- English
Similar Records
History and methods of Lie-admissible algebras
Realization and classification of the universal Clifford algebras as associative Lie-admissible algebras
Flexible Lie-admissible algebras with the solvable radical of A/sup -/ Abelian and Lie algebras with nondegenerate forms
Conference
·
Mon Feb 01 00:00:00 EST 1982
· Hadronic J.; (United States)
·
OSTI ID:6444396
Realization and classification of the universal Clifford algebras as associative Lie-admissible algebras
Conference
·
Sat Dec 01 00:00:00 EST 1979
· Hadronic J.; (United States)
·
OSTI ID:6444396
Flexible Lie-admissible algebras with the solvable radical of A/sup -/ Abelian and Lie algebras with nondegenerate forms
Conference
·
Sun Feb 01 00:00:00 EST 1981
· Hadronic J.; (United States)
·
OSTI ID:6444396