EBOOK

General Theory of Lie Groupoids and Lie Algebroids

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März 2009

Beschreibung

Beschreibung

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

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.

Portrait

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

Pressestimmen

'The book is a fine and up-to-date introduction to the theory of Lie groupoids and Lie algebroids written by a leading specialist in the field ... The presentation and the choice of the topics are very impressive. One can easily discern a long fascination by and research involvement in the subject.' Zentralblatt MATH
EAN: 9780521499286
ISBN: 0521499283
Untertitel: Sprache: Englisch.
Verlag: CAMBRIDGE UNIV PR
Erscheinungsdatum: März 2009
Seitenanzahl: 501 Seiten
Format: kartoniert
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