Lie Groupoids and Lie Algebroids
When studying geometrical objects, the arising groupoids often carry some differentiable structure, turning them into Lie groupoids. These can be studied in terms of Lie algebroids, in analogy to the relation between Lie groups and Lie algebras.
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“The lesson which these observations convey is, be, and not seem. Let us acquiesce. Let us take our bloated nothingness out of the path of the divine circuits. Let us unlearn our wisdom of the world. Let us lie low in the lord’s power, and learn that truth alone makes rich and great.”
—Ralph Waldo Emerson (1803–1882)
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