Generating higher-order Lie algebras by expanding Maurer-Cartan forms
Journal Article
·
· Journal of Mathematical Physics
- Departamento de Fisica, Universidad de Concepcion, Casilla 160-C, Concepcion (Chile)
By means of a generalization of the Maurer-Cartan expansion method, we construct a procedure to obtain expanded higher-order Lie algebras. The expanded higher-order Maurer-Cartan equations for the case G=V{sub 0}+V{sub 1} are found. A dual formulation for the S-expansion multialgebra procedure is also considered. The expanded higher-order Maurer-Cartan equations are recovered from S-expansion formalism by choosing a special semigroup. This dual method could be useful in finding a generalization to the case of a generalized free differential algebra, which may be relevant for physical applications in, e.g., higher-spin gauge theories.
- OSTI ID:
- 21294533
- Journal Information:
- Journal of Mathematical Physics, Vol. 50, Issue 12; Other Information: DOI: 10.1063/1.3272997; (c) 2009 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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