Graded Lie admissibility of a 2 x 2 matrix algebra
Journal Article
·
· Hadronic J.; (United States)
OSTI ID:5952039
The author investigates the graded Lie admissibility of a 2 x 2 matrix algebra M whose diagonal entries are in an algebra A over a field F equipped with a symmetric linear form psi, and whose off-diagonal entries are in an algebra L over the same field F equipped with a symmetric bilinear form ( , ). It is shown that the algebra A can be commutative or associative or a Lie algebra. Also, the structure of the Lie superalgebra M-tilde associated with M and the superflexibility of M are investigated.
- Research Organization:
- Dept. of Mathematics, National Technical Univ., Zografou Campus, 157 73, Athens
- OSTI ID:
- 5952039
- Journal Information:
- Hadronic J.; (United States), Journal Name: Hadronic J.; (United States) Vol. 9:4; ISSN HAJOD
- Country of Publication:
- United States
- Language:
- English
Similar Records
Lie-admissibility of vector matrix algebras
Some classes of flexible Lie-Jordan-admissible algebras
Classification of simple flexible Lie-admissible algebras
Conference
·
Sat Jan 31 23:00:00 EST 1981
· Hadronic J.; (United States)
·
OSTI ID:6934958
Some classes of flexible Lie-Jordan-admissible algebras
Conference
·
Sat Jan 31 23:00:00 EST 1981
· Hadronic J.; (United States)
·
OSTI ID:6644963
Classification of simple flexible Lie-admissible algebras
Journal Article
·
Fri Jun 01 00:00:00 EDT 1979
· Hadronic J.; (United States)
·
OSTI ID:6615089