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Lie Groupoid


A Lie groupoid over B is a groupoid G for which G and B are differentiable manifolds and alpha,beta and multiplication are differentiable maps. Furthermore, the derivatives of alpha and beta are required to have maximal matrix rank everywhere. Here, alpha and beta are maps from G onto B.


See also

Groupoid, Lie Algebroid, Nilpotent Lie Group, Semisimple Lie Group, Solvable Lie Group

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References

Weinstein, A. "Groupoids: Unifying Internal and External Symmetry." Not. Amer. Math. Soc. 43, 744-752, 1996.

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Lie Groupoid

Cite this as:

Weisstein, Eric W. "Lie Groupoid." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LieGroupoid.html

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