Nonrelativistic k-contractions of the coadjoint Poincaré algebra

Abstract

We study a class of extensions of the k-contracted Poincare algebra under the hipotesis of generalizing the Bargmann algebra and his central charge. As we will see this type of contractions will lead in a natural way to consider the codajoint Poincare algebra and some of their contractions. Among them there is one such that. considering the quotient of it by a suitable ideal, the (stringy) p-brane Galilei algebra is recovered.