Covariant Euler-Poincaré Reduction for Field Theories on Centered Semidirect Products

Miguel Ángel Berbel, Leonardo Colombo, Álvaro Rodríguez Abella

Let $G$ be a Lie group equipped with commuting left and right linear representations on a vector space $V$, and let $G\bowtie V$ be the associated centered semidirect product. We dev…