EQUIVALENT DEFINITIONS OF MULTIVECTOR FIELDS ON WEIL BUNDLE

Abstract

In this paper, we generalize the notion of vector fields on Weil bundle. Let $q\geq 2$ be an integer, we give equivalent definitions of a $q$-vector field on Weil bundle in terms of $q$-derivations. Further, we construct a Lie graded algebra structure of multivector fields on Weil bundle.