Nonrelativistic k-contractions of the coadjoint Poincaré algebra

Abstract

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