Affiliation:
1. Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran
Abstract
In this paper, we introduce skew-symmetric hom-algebroids and linear almost Poisson structures on dual hom-bundles. In addition, we show that these two geometric notions are related to each other and present several interesting examples of them. Moreover, we study the representation theory of skew-symmetric hom-algebroids and their dual spaces. Finally, we give the notion of phase spaces of skew-symmetric algebroids.
Subject
Mathematical Physics,Statistical and Nonlinear Physics