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Lie Groupoids and Lie Algebroids in Differential Geometry (London Mathematical Society Lecture Note Series)

K. Mackenzie




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 |  1987-06-25 |  1987-06-25 | File type: PDF

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This book provides a striking synthesis of the standard theory of connections in principal bundles and the Lie theory of Lie groupoids. The concept of Lie groupoid is a little-known formulation of the concept of principal bundle and corresponding to the Lie algebra of a Lie group is the concept of Lie algebroid: in principal bundle terms this is the Atiyah sequence. The author's viewpoint is that certain deep problems in connection theory are best addressed by groupoid a...

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