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General theory of lie groupoids and lie algebroids /

This a comprehensive modern account of the theory of Lie groupoids and Lie algebroids, and their importance in differential geometry, in particular their relations with Poisson geometry and general connection theory. It covers much work done since the mid 1980s including the first treatment in book...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Mackenzie, K. (Kirill)
Autor Corporativo: London Mathematical Society
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge [England] ; New York : Cambridge University Press, 2005.
Colección:London Mathematical Society lecture note series ; 213.
Temas:
Acceso en línea:Texto completo
Descripción
Sumario:This a comprehensive modern account of the theory of Lie groupoids and Lie algebroids, and their importance in differential geometry, in particular their relations with Poisson geometry and general connection theory. It covers much work done since the mid 1980s including the first treatment in book form of Poisson groupoids, Lie bialgebroids and double vector bundles, as well as a revised account of the relations between locally trivial Lie groupoids, Atiyah sequences, and connections in principal bundles. As such, this book will be of great interest to all those concerned with the use of Poisson geometry as a semi-classical limit of quantum geometry, as well as to all those working in or wishing to learn the modern theory of Lie groupoids and Lie algebroids.
Descripción Física:1 online resource (xxxv, 501 pages) : illustrations
Bibliografía:Includes bibliographical references (pages 479-495) and index.
ISBN:9781107325883
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1107095034
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1107103177
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1107091756
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