Generalized Lie algebras
- 1 April 1979
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 20 (4) , 712-720
- https://doi.org/10.1063/1.524113
Abstract
The generalized Lie algebras, which have recently been introduced under the name of color (super) algebras, are investigated. The generalized Poincaré–Birkhoff–Witt and Ado theorems hold true. We discuss the so‐called commutation factors which enter into the defining identities of these algebras. Moreover, we establish a close relationship between the generalized Lie algebras and ordinary Lie (super) algebras.Keywords
This publication has 11 references indexed in Scilit:
- Sequences of Z2⊗Z2 graded Lie algebras and superalgebrasJournal of Mathematical Physics, 1978
- Color-de Sitter and color-conformal superalgebrasPhysical Review D, 1978
- Generalized superalgebrasNuclear Physics B, 1978
- Lie superalgebrasAdvances in Mathematics, 1977
- SupersymmetryPhysics Reports, 1977
- A sketch of Lie superalgebra theoryCommunications in Mathematical Physics, 1977
- Classification of all simple graded Lie algebras whose Lie algebra is reductive. IJournal of Mathematical Physics, 1976
- Simple supersymmetriesJournal of Mathematical Physics, 1976
- Graded Lie algebras in mathematics and physics (Bose-Fermi symmetry)Reviews of Modern Physics, 1975
- Induced and produced representations of Lie algebrasTransactions of the American Mathematical Society, 1969