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ISBN: 9780521597005
[ED: Taschenbuch], [PU: CAMBRIDGE UNIV PR], Now in paperback, this book provides a self-contained introduction to the cohomology theory of Lie groups and algebras and to some of its applications in physics. No previous knowledge of the mathematical theory is assumed beyond some notions of Cartan calculus and differential geometry (which are nevertheless reviewed in the book in detail). The examples, of current interest, are intended to clarify certain mathematical aspects and to show their usefulness in physical problems. The topics treated include the differential geometry of Lie groups, fibre bundles and connections, characteristic classes, index theorems, monopoles, instantons, extensions of Lie groups and algebras, some applications in supersymmetry, Chevalley-Eilenberg approach to Lie algebra cohomology, symplectic cohomology, jet-bundle approach to variational principles in mechanics, Wess-Zumino-Witten terms, infinite Lie algebras, the cohomological descent in mechanics and in gauge theories and anomalies. This book will be of interest to graduate students and researchers in theoretical physics and applied mathematics. Table of contents: Preface 1. Lie groups, fibre bundles and Cartan calculus 2. Connections and characteristic classes 3. A first look at cohomology of groups and related topics 4. An introduction to abstract group extension theory 5. Cohomology groups of a group G and extensions by an abelian kernel 6. Cohomology of Lie algebras 7. Group extensions by non-abelian kernels 8. Cohomology and Wess-Zumino terms: an introduction 9. Infinite-dimensional Lie groups and algebras 10. Gauge anomalies List of symbols References Index. Now in paperback, this book provides a self-contained introduction to the cohomology theory of Lie groups and algebras and to some of its applications in physics. No previous knowledge of the mathematical theory is assumed beyond some notions of Cartan calculus and differential geometry (which are nevertheless reviewed in the book in detail). A self-contained introduction to the cohomology theory of Lie groups and some of its applications in physics. 473 pages - 22 line diagrams Versandfertig in über 4 Wochen, [SC: 0.00], Neuware, gewerbliches Angebot
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Josi A. de Azcárraga, Josi M. Izquierdo:
Lie Groups, Lie Algebras, Cohomology And Some Applications In Physics - new bookISBN: 9780521597005
ID: 978052159700
Now in paperback, this book provides a self-contained introduction to the cohomology theory of Lie groups and algebras and to some of its applications in physics. No previous knowledge of the mathematical theory is assumed beyond some notions of Cartan calculus and differential geometry (which are nevertheless reviewed in the book in detail). The examples, of current interest, are intended to clarify certain mathematical aspects and to show their usefulness in physical problems. The topics treated include the differential geometry of Lie groups, fiber bundles and connections, characteristic classes, index theorems, monopoles, instantons, extensions of Lie groups and algebras, some applications in supersymmetry, Chevalley-Eilenberg approach to Lie algebra cohomology, symplectic cohomology, jet-bundle approach to variational principles in mechanics, Wess-Zumino-Witten terms, infinite Lie algebras, the cohomological descent in mechanics and in gauge theories and anomalies. This book will be of interest to graduate students and researchers in theoretical physics and applied mathematics. Josi A. de Azcárraga, Josi M. Izquierdo, Books, Science and Nature, Lie Groups, Lie Algebras, Cohomology And Some Applications In Physics Books>Science and Nature, Cambridge University Press
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ISBN: 9780521597005
Paperback, [PU: CAMBRIDGE UNIVERSITY PRESS], A self-contained introduction to the cohomology theory of Lie groups and some of its applications in physics., Physics
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ISBN: 9780521597005
ID: 0010087068
Lie Groups. Lie Algebras Pb editado por Cambridge, [PU: Cambridge University Press]
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Title: | Lie Groups, Lie Algebras, Cohomology and Some Applications in Physics |
ISBN: | 0521597005 |
Details of the book - Lie Groups, Lie Algebras, Cohomology and Some Applications in Physics
EAN (ISBN-13): 9780521597005
ISBN (ISBN-10): 0521597005
Paperback
Publishing year: 1998
Publisher: CAMBRIDGE UNIV PR
476 Pages
Weight: 0,789 kg
Language: eng/Englisch
Book in our database since 16.05.2007 14:20:54
Book found last time on 07.12.2016 03:06:09
ISBN/EAN: 0521597005
ISBN - alternate spelling:
0-521-59700-5, 978-0-521-59700-5
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