TY  - BOOK
AU  - Mackenzie,K.
ED  - London Mathematical Society,
TI  - General theory of lie groupoids and lie algebroids
T2  - London Mathematical Society lecture note series
SN  - 9781107325883 (ebook)
AV  - QA649 .M329 2005
U1  - 512.482 22
PY  - 2005///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Lie groupoids
KW  - Lie algebroids
KW  - Vector bundles
KW  - Connections (Mathematics)
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015); 1; Lie groupoids : fundamental theory --; 2; Lie groupoids : algebraic constructions --; 3; Lie algebroids : fundamental theory --; 4; Lie algebroids : algebraic constructions --; 5; Infinitesimal connection theory --; 6; Path connections and lie theory --; 7; Cohomology and Schouten calculus --; 8; The cohomological obstruction --; 9; Double vector bundles --; 10; Poisson structures and lie algebroids --; 11; Poisson and symplectic groupoids --; 12; Lie bialgebroids
N2  - 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
UR  - https://doi.org/10.1017/CBO9781107325883
ER  -