Kirill C. H. Mackenzie

General Theory of Lie Groupoids and Lie Algebroids

• Broschiertes Buch

Produktbeschreibung

This a comprehensive modern account of the theory of Lie groupoids and Lie algebroids, and their importance in differential geometry.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 540
• Erscheinungstermin: 12. März 2009
• Englisch
• Abmessung: 229mm x 152mm x 32mm
• Gewicht: 867g
• ISBN-13: 9780521499286
• ISBN-10: 0521499283
• Artikelnr.: 22382568

Autorenporträt

Kirill Mackenzie is a reader in Pure Mathematics at the University of Sheffield

Inhaltsangabe

Part I. The General Theory: 1. Lie groupoids: fundamental theory
2. Lie groupoids: algebraic constructions
3. Lie algebroids: fundamental theory
4. Lie algebroids: algebraic constructions
Part II. The Transitive Theory: 5. Infinitesimal connection theory
6. Path connections and Lie theory
7. Cohomology and Schouten calculus
8. The cohomological obstruction
Part III. The Poisson and Symplectic Theories: 9. Double vector bundles
10. Poisson structures and Lie algebras
11. Poisson and symplectic groupoids
12. Lie bialgebroids
Appendix
Bibliography
Index.