This book provides a striking synthesis of the standard theory of connections in principal bundles and the Lie theory of Lie groupoids. The concept of Lie groupoid is a little-known formulation of the concept of principal bundle and corresponding to the Lie algebra of a Lie group is the concept of Lie algebroid: in principal bundle terms this is the Atiyah sequence. The author's viewpoint is that certain deep problems in connection theory are best addressed by groupoid and Lie algebroid methods. After preliminary chapters ...
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This book provides a striking synthesis of the standard theory of connections in principal bundles and the Lie theory of Lie groupoids. The concept of Lie groupoid is a little-known formulation of the concept of principal bundle and corresponding to the Lie algebra of a Lie group is the concept of Lie algebroid: in principal bundle terms this is the Atiyah sequence. The author's viewpoint is that certain deep problems in connection theory are best addressed by groupoid and Lie algebroid methods. After preliminary chapters on topological groupoids, the author gives the first unified and detailed account of the theory of Lie groupoids and Lie algebroids. He then applies this theory to the cohomology of Lie algebroids, re-interpreting connection theory in cohomological terms, and giving criteria for the existence of (not necessarily Riemannian) connections with prescribed curvature form. This material, presented in the last two chapters, is work of the author published here for the first time. This book will be of interest to differential geometers working in general connection theory and to researchers in theoretical physics and other fields who make use of connection theory.
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Add this copy of Lms: 124 Lie Groupoids & Algebroids in Diferential to cart. $51.08, very good condition, Sold by Fireside Bookshop rated 4.0 out of 5 stars, ships from Stroud, GLOUCESTERSHIRE, UNITED KINGDOM, published 1987 by Cambridge University Press.
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Very Good in No d/j as Published jacket. Size: 8vo-over 7¾"-9¾" tall; Type: Book N.B. Small plain label to inside front cover. Letter J stamped on title page. Slight rubbing to head and tail of spine. Crease to bottom left corner of rear cover.
Add this copy of Lie Groupoids and Lie Algebroids in Differential to cart. $102.04, new condition, Sold by Ria Christie Books rated 4.0 out of 5 stars, ships from Uxbridge, MIDDLESEX, UNITED KINGDOM, published 1987 by Cambridge University Press.
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New. Trade paperback (US). Contains: Unspecified. London Mathematical Society Lecture Note Series . Includes unspecified. Intended for professional and scholarly audience.
Add this copy of Lie Groupoids and Lie Algebroids in Differential to cart. $103.90, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 1987 by Cambridge University Press.
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New. Print on demand Trade paperback (US). Contains: Unspecified. London Mathematical Society Lecture Note Series . Includes unspecified. Intended for professional and scholarly audience.
Add this copy of Lie Groupoids and Lie Algebroids in Differential to cart. $123.16, new condition, Sold by Just one more Chapter rated 3.0 out of 5 stars, ships from Miramar, FL, UNITED STATES, published 1987 by Cambridge University Press.
Add this copy of Lie Groupoids and Lie Algebroids in Differential to cart. $139.52, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 1987 by Cambridge University Press.
Add this copy of Lie Groupoids and Lie Algebroids in Differential to cart. $179.80, new condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 1987 by Cambridge University Press.
