General Theory of Lie Groupoids and Lie Algebroids

Informationen zum Autor Kirill Mackenzie is a reader in Pure Mathematics at the University of Sheffield Klappentext This a comprehensive modern account of the theory of Lie groupoids and Lie algebroids! and their importance in differential geometry. Zusammenfassung This a comprehensive modern account of the theory of Lie groupoids and Lie algebroids! and their importance in differential geometry. 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. Inhaltsverzeichnis 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.

Dettagli sul prodotto

• Autori: K. MacKenzie, Kirill C. H. MacKenzie, Kirill C. H. (University of Sheffield) Mackenzie
• Editore: Cambridge University Press ELT
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 09.06.2005
• EAN: 9780521499286
• ISBN: 978-0-521-49928-6
• Pagine: 540
• Serie: London Mathematical Society Le
• Categoria: Scienze naturali, medicina, informatica, tecnica > Scienze naturali, tematiche generali