Generating Higher-Order Lie Algebras by Expanding Maurer Cartan Forms
Date
2009Author
Merino, Nelson
Caroca, Ricardo
Pérez, Alfredo
Salgado, Patricio
Publisher
Cornell University LibraryDescription
Artículo de publicación ISIMetadata
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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=V0⊕V1 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