Vector bundles over Lie groupoids and algebroids

By H. Bursztyn, A. Cabrera, Matías L. del Hoyo. 2014

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Abstract We study VB-groupoids and VB-algebroids, which are vector bundles in the realm of Lie groupoids and Lie algebroids. Through a suitable reformulation of their definitions, we elucidate the Lie theory relating these objects, i.e., their relation via differentiation and integration. We also show how to extend our techniques to describe the more general Lie theory underlying double Lie algebroids and LA-groupoids.

Subfields: Algebra and Number Theory, Mathematical Physics, Pathology and Forensic Medicine

View Paper: https://www.semanticscholar.org/paper/5d465a34ceef0702446b4d04bcf8cb82c5cda0ee