TY - BOOK ID - 5432183 TI - General theory of lie groupoids and lie algebroids AU - Mackenzie, K AU - London Mathematical Society. PY - 2005 VL - 213 SN - 9780521499286 0521499283 9781107325883 9780521499283 1107325889 9781107088870 1107088879 1107100690 1107095034 1107103177 1107091756 9781107100695 9781107095038 9781107103177 9781107091757 PB - Cambridge [England] New York Cambridge University Press DB - UniCat KW - Lie groupoids KW - Lie algebroids KW - Lie, Groupoïdes de KW - Lie groupoids. KW - Lie algebroids. KW - 512.8 KW - Algebroids KW - Lie algebras KW - Groupoids KW - Lie groups KW - Lie groups, Lie algebras KW - Lie, Groupoïdes de KW - Groupoïdes de Lie KW - Algébroïdes de Lie KW - Groupoïdes de Lie. KW - Algébroïdes de Lie. KW - Vector bundles. KW - Connections (Mathematics) KW - Geometry, Differential KW - Fiber spaces (Mathematics) KW - Groupoïdes de Lie. KW - Algébroïdes de Lie. UR - https://www.unicat.be/uniCat?func=search&query=sysid:5432183 AB - 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. ER -