Generating Higher-Order Lie Algebras by Expanding Maurer Cartan Forms
High Energy Physics - Theory
2015-03-17 v1
Abstract
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 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.
Keywords
Cite
@article{arxiv.1004.5503,
title = {Generating Higher-Order Lie Algebras by Expanding Maurer Cartan Forms},
author = {Ricardo Caroca and Nelson Merino and Alfredo Pérez and Patricio Salgado},
journal= {arXiv preprint arXiv:1004.5503},
year = {2015}
}