A **Lie groupoid** is a mathematical structure that generalizes the notion of a Lie group and captures certain aspects of differentiable manifolds and group theory. It provides a framework for studying categories of manifolds where both the "objects" and "morphisms" have smooth structures, and it is particularly useful in the study of differential geometry and mathematical physics. Here are the key components and concepts related to Lie groupoids: ### Components of a Lie Groupoid 1.
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