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General Theory of Lie Groupoids and Lie Algebroids
Language: en
Pages: 540
Authors: Kirill C. H. Mackenzie
Categories: Mathematics
Type: BOOK - Published: 2005-06-09 - Publisher: Cambridge University Press

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This a comprehensive modern account of the theory of Lie groupoids and Lie algebroids, and their importance in differential geometry, in particular their relati
Lie Groupoids and Lie Algebroids in Differential Geometry
Language: en
Pages: 345
Authors: K. Mackenzie
Categories: Mathematics
Type: BOOK - Published: 1987-06-25 - Publisher: Cambridge University Press

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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 group
Introduction to Foliations and Lie Groupoids
Language: en
Pages: 173
Authors: Ieke Moerdijk
Categories: Foliations (Mathematics)
Type: BOOK - Published: 2003 - Publisher:

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This book gives a quick introduction to the theory of foliations and Lie groupoids. It is based on the authors' extensive teaching experience and contains numer
Cartan Geometries and their Symmetries
Language: en
Pages: 298
Authors: Mike Crampin
Categories: Mathematics
Type: BOOK - Published: 2016-05-20 - Publisher: Springer

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In this book we first review the ideas of Lie groupoid and Lie algebroid, and the associated concepts of connection. We next consider Lie groupoids of fibre mor
Poisson Structures
Language: en
Pages: 470
Authors: Camille Laurent-Gengoux
Categories: Mathematics
Type: BOOK - Published: 2012-08-27 - Publisher: Springer Science & Business Media

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Poisson structures appear in a large variety of contexts, ranging from string theory, classical/quantum mechanics and differential geometry to abstract algebra,