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A groupoid is a category where all morphisms are invertible. This notion can also be seen as an extension of the notion of group. A motivating example is the fundamental groupoid of a topological space with respect to several base points, compared to the usual fundamental group.

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Representation of Groupoids

There is a theory of representation of groupoids, that runs parallel to the classical theory of locally compact groups. … Indeed, proving this theory for groupoids is very hard and there are many issues to take care of. Groupoids behave differently than groups. …
Rohit D. Holkar's user avatar