Lie-admissible algebras
Journal Article
·
· Hadronic J.; (United States)
OSTI ID:6554409
We discuss the recent development of Lie-admissible algebras. In the structure theory of flexible Lie-admissible algebras A, the main result is that if A/sup -/ is a classical Lie algebra with a nil Cartan subalgebra then A is a Lie algebra isomorphic to A/sup -/. It is shown that a Cartan subalgebra of A/sup -/ plays a major role in the study of flexible Lie-admissible algebras. Some unsolved problems are discussed in relation to the classification of simple flexible Lie-admissible nilalgebras. We determine all flexible Lie-admissible nilalgebras of dimension less than or equal to 4. Our discussion is motivated by possible applications of Lie-admissible algebras in physics which have recently been pointed out by a number of physicists.
- Research Organization:
- Univ. of Northern Iowa, Cedar Falls
- OSTI ID:
- 6554409
- Journal Information:
- Hadronic J.; (United States), Journal Name: Hadronic J.; (United States) Vol. 1:1; ISSN HAJOD
- Country of Publication:
- United States
- Language:
- English
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