General Theory of Lie Groupoids and Lie AlgebroidsCambridge University Press, 9 июн. 2005 г. - Всего страниц: 501 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 andgeneral 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 such, this book will be of great interest to all those working in or wishing to learn the modern theory of Lie groupoids and Lie algebroids. |
Содержание
Fundamental Theory | 6 |
Algebraic Constructions | 53 |
Algebraic Constructions | 148 |
Infinitesimal Connection Theory | 181 |
Path Connections and Lie Theory | 212 |
cohomology and Schouten Calculus | 257 |
The Cohomological Obstruction | 311 |
Poisson Structures and Lie Algebroids | 380 |
Poisson and Symplectic Groupoids | 408 |
Lie Bialgebroids | 446 |
Appendix | 473 |
| 496 | |
Другие издания - Просмотреть все
General Theory of Lie Groupoids and Lie Algebroids Kirill C. H. Mackenzie Недоступно для просмотра - 2005 |
Часто встречающиеся слова и выражения
action of G adjoint bundle anchor automorphism base bialgebroid bisections bracket canonical closed embedded cohomology concept condition connection theory consider construction core corresponding cotangent curvature defined Definition denote diffeomorphism double vector bundle dual element equation equivalent equivariant Example extension fiat connection fibration fibre first flow follows g E G given groupoid G groupoid structure groupoids and Lie holonomy identified induced integrability kernel Lemma Let G Let Q Lie algebra Lie algebroid morphism Lie algebroid structure Lie derivation Lie group Lie subgroupoid locally trivial Lie Moerdijk monodromy morphism of Lie multiplication pairing phism Poisson groupoids Poisson manifold Poisson structure Pradines principal bundle projection Proof Proposition prove pullback quotient representation restriction result satisfies smooth map submanifold surjective submersion symplectic groupoid tangent tangent bundle Theorem topological groupoids transitive Lie algebroid trivial Lie groupoid vector bundle morphism vector field Weinstein zero