Year: 2009
Type: article
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 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.
Source: Journal of Mathematical Physics
DOI: 10.1063/1.3272997
Authors: R. Caroca, N. Merino, A. Perez, P. Salgado
Language: English
Topic: Advanced Topics in Algebra
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1985640096