Lie Groups, Lie Algebras, Cohomology and some Applications in Physics: Cambridge Monographs on Mathematical Physics
Autor Josi A. de Azcárraga, Josi M. Izquierdoen Limba Engleză Paperback – 5 aug 1998
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Specificații
ISBN-13: 9780521597005
ISBN-10: 0521597005
Pagini: 476
Ilustrații: 22 b/w illus.
Dimensiuni: 175 x 247 x 25 mm
Greutate: 0.79 kg
Ediția:Revised
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Cambridge Monographs on Mathematical Physics
Locul publicării:Cambridge, United Kingdom
ISBN-10: 0521597005
Pagini: 476
Ilustrații: 22 b/w illus.
Dimensiuni: 175 x 247 x 25 mm
Greutate: 0.79 kg
Ediția:Revised
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Cambridge Monographs on Mathematical Physics
Locul publicării:Cambridge, United Kingdom
Cuprins
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.
Recenzii
'[This book] reserves for itself a special place among other presentations by successfully trying to be self-contained. Its strong point is a systematic exposition of the mathematical background in an accessible form … the book is most useful for physicists who want to go beyond the standard physics review type introduction to differential geometry. The book offers them a quite rigorous but at the same time lucid and self-contained presentation.' Mathematical Reviews
'This book is a useful contribution to the constantly growing literature that is devoted to the mathematics-physics interface …The book is a welcome relief to the physicist searching for a physically motivated yet mathematically rigorous and systematic exposition of gauge anomalies … The book under review reserves itself a special place among other presentations by successfully trying to be self-contained. Its strong point is a systematic exposition of the mathematical background in an accessible form … a quite rigorous but at the same time lucid and self-contained presentation.' Mathematical Reviews
'The material presented is essentially self-contained and at a basic graduate text level. The material is also well organized and the book reads very well … The book is warmly recommended.' Classical and Quantum Gravity
'This book is a useful contribution to the constantly growing literature that is devoted to the mathematics-physics interface …The book is a welcome relief to the physicist searching for a physically motivated yet mathematically rigorous and systematic exposition of gauge anomalies … The book under review reserves itself a special place among other presentations by successfully trying to be self-contained. Its strong point is a systematic exposition of the mathematical background in an accessible form … a quite rigorous but at the same time lucid and self-contained presentation.' Mathematical Reviews
'The material presented is essentially self-contained and at a basic graduate text level. The material is also well organized and the book reads very well … The book is warmly recommended.' Classical and Quantum Gravity
Descriere
A self-contained introduction to the cohomology theory of Lie groups and some of its applications in physics.