Abstract

Groupoids and Lie groupoids are interesting mathematical structures which have vital applications in mathematical physics. Bundles are certain structures which are avilable in several instants. In this paper we discuss \(\mathcal{VB}\)-groupoids, provide several examples of such \(\mathcal{VB}\)-groupoids. The representation of Lie groupoids on vector bundles are also discussed and it is shown that provide \(\mathcal{VB}\)-groupoids.

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