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Author : Tahar Mokri
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (277 download)
Download or read book Matched Pairs of Lie Groupoids and Lie Algebroids written by Tahar Mokri and published by . This book was released on 1995 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kirill C. H. Mackenzie
Publisher : Cambridge University Press
ISBN 13 : 0521499283
Total Pages : 540 pages
Book Rating : 4.5/5 (214 download)
Download or read book General Theory of Lie Groupoids and Lie Algebroids written by Kirill C. H. Mackenzie and published by Cambridge University Press. This book was released on 2005-06-09 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : K. Mackenzie
Publisher : Cambridge University Press
ISBN 13 : 9780521348829
Total Pages : 344 pages
Book Rating : 4.3/5 (488 download)
Download or read book Lie Groupoids and Lie Algebroids in Differential Geometry written by K. Mackenzie and published by Cambridge University Press. This book was released on 1987-06-25 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Kirill Mackenzie
Publisher :
ISBN 13 : 9781107091757
Total Pages : 501 pages
Book Rating : 4.0/5 (917 download)
Download or read book General Theory of Lie Groupoids and Lie Algebroids written by Kirill Mackenzie and published by . This book was released on 2005 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 and general 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 well as a revised account of the relations between locally trivial Lie groupoids, Atiyah sequences, and connections in principal bundles. As such, this book will be of great interest to all those concerned with the use of Poisson geometry as a semi-classical limit of quantum geometry, as well as to all those working in or wishing to learn the modern theory of Lie groupoids and Lie algebroids.
Author : Izu Vaisman
Publisher : Birkhäuser
ISBN 13 : 3034884958
Total Pages : 210 pages
Book Rating : 4.0/5 (348 download)
Download or read book Lectures on the Geometry of Poisson Manifolds written by Izu Vaisman and published by Birkhäuser. This book was released on 2012-12-06 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is addressed to graduate students and researchers in the fields of mathematics and physics who are interested in mathematical and theoretical physics, differential geometry, mechanics, quantization theories and quantum physics, quantum groups etc., and who are familiar with differentiable and symplectic manifolds. The aim of the book is to provide the reader with a monograph that enables him to study systematically basic and advanced material on the recently developed theory of Poisson manifolds, and that also offers ready access to bibliographical references for the continuation of his study. Until now, most of this material was dispersed in research papers published in many journals and languages. The main subjects treated are the Schouten-Nijenhuis bracket; the generalized Frobenius theorem; the basics of Poisson manifolds; Poisson calculus and cohomology; quantization; Poisson morphisms and reduction; realizations of Poisson manifolds by symplectic manifolds and by symplectic groupoids and Poisson-Lie groups. The book unifies terminology and notation. It also reports on some original developments stemming from the author's work, including new results on Poisson cohomology and geometric quantization, cofoliations and biinvariant Poisson structures on Lie groups.
Author : Kirill MacKenzie
Publisher :
ISBN 13 :
Total Pages : 327 pages
Book Rating : 4.:/5 (878 download)
Download or read book Lie groupoids and Lie algebroids in differential geometry written by Kirill MacKenzie and published by . This book was released on 1987 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 756 pages
Book Rating : 4.3/5 (21 download)
Download or read book Nonlinearity written by and published by . This book was released on 2006-04 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Christian Blohmann
Publisher : American Mathematical Society
ISBN 13 : 147046909X
Total Pages : 112 pages
Book Rating : 4.4/5 (74 download)
Download or read book Hamiltonian Lie Algebroids written by Christian Blohmann and published by American Mathematical Society. This book was released on 2024-04-17 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Author :
Publisher :
ISBN 13 :
Total Pages : 1770 pages
Book Rating : 4.X/5 (6 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 2004 with total page 1770 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jiang-Hua Lu
Publisher :
ISBN 13 :
Total Pages : 156 pages
Book Rating : 4.:/5 (33 download)
Download or read book Multiplicative and Affine Poisson Structures on Lie Groups written by Jiang-Hua Lu and published by . This book was released on 1990 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J.J. Duistermaat
Publisher : Springer Science & Business Media
ISBN 13 : 9783540152934
Total Pages : 356 pages
Book Rating : 4.1/5 (529 download)
Download or read book Lie Groups written by J.J. Duistermaat and published by Springer Science & Business Media. This book was released on 1999-12-15 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This (post) graduate text gives a broad introduction to Lie groups and algebras with an emphasis on differential geometrical methods. It analyzes the structure of compact Lie groups in terms of the action of the group on itself by conjugation, culminating in the classification of the representations of compact Lie groups and their realization as sections of holomorphic line bundles over flag manifolds. Appendices provide background reviews.
Author : Travis Songhao Li
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (13 download)
Download or read book Constructions of Lie Groupoids written by Travis Songhao Li and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Augustin Banyaga
Publisher : World Scientific
ISBN 13 : 9814488143
Total Pages : 174 pages
Book Rating : 4.8/5 (144 download)
Download or read book Infinite Dimensional Lie Groups In Geometry And Representation Theory written by Augustin Banyaga and published by World Scientific. This book was released on 2002-07-12 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 2000 Howard conference on “Infinite Dimensional Lie Groups in Geometry and Representation Theory”. It presents some important recent developments in this area. It opens with a topological characterization of regular groups, treats among other topics the integrability problem of various infinite dimensional Lie algebras, presents substantial contributions to important subjects in modern geometry, and concludes with interesting applications to representation theory. The book should be a new source of inspiration for advanced graduate students and established researchers in the field of geometry and its applications to mathematical physics.
Author :
Publisher :
ISBN 13 :
Total Pages : 230 pages
Book Rating : 4.:/5 (44 download)
Download or read book Journal of Physics A written by and published by . This book was released on 2002 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focuses on fundamental mathematical and computational methods underpinning physics. Relevant to statistical physics, chaotic and complex systems, classical and quantum mechanics, classical and quantum integrable systems and classical and quantum field theory.
Author :
Publisher :
ISBN 13 :
Total Pages : 660 pages
Book Rating : 4.6/5 (151 download)
Download or read book Journal of Physics written by and published by . This book was released on 2002 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : B.P. Komrakov
Publisher : Springer Science & Business Media
ISBN 13 : 9401152586
Total Pages : 442 pages
Book Rating : 4.4/5 (11 download)
Download or read book Lie Groups and Lie Algebras written by B.P. Komrakov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection contains papers conceptually related to the classical ideas of Sophus Lie (i.e., to Lie groups and Lie algebras). Obviously, it is impos sible to embrace all such topics in a book of reasonable size. The contents of this one reflect the scientific interests of those authors whose activities, to some extent at least, are associated with the International Sophus Lie Center. We have divided the book into five parts in accordance with the basic topics of the papers (although it can be easily seen that some of them may be attributed to several parts simultaneously). The first part (quantum mathematics) combines the papers related to the methods generated by the concepts of quantization and quantum group. The second part is devoted to the theory of hypergroups and Lie hypergroups, which is one of the most important generalizations of the classical concept of locally compact group and of Lie group. A natural harmonic analysis arises on hypergroups, while any abstract transformation of Fourier type is gen erated by some hypergroup (commutative or not). Part III contains papers on the geometry of homogeneous spaces, Lie algebras and Lie superalgebras. Classical problems of the representation theory for Lie groups, as well as for topological groups and semigroups, are discussed in the papers of Part IV. Finally, the last part of the collection relates to applications of the ideas of Sophus Lie to differential equations.
Author :
Publisher :
ISBN 13 :
Total Pages : 960 pages
Book Rating : 4.F/5 ( download)
Download or read book Index to Theses with Abstracts Accepted for Higher Degrees by the Universities of Great Britain and Ireland and the Council for National Academic Awards written by and published by . This book was released on 1997 with total page 960 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theses on any subject submitted by the academic libraries in the UK and Ireland.
