Lie groups, Lie algebras, cohomology, and some applications in physics / José A. de Azcárraga and José M. Izquierdo.
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 n...
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Full Text (via Cambridge) |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge [England] ; New York :
Cambridge University Press,
1995.
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| Series: | Cambridge monographs on mathematical physics.
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| Subjects: |
MARC
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| 100 | 1 | |a Azcárraga, J. A. de, |d 1941- | |
| 245 | 1 | 0 | |a Lie groups, Lie algebras, cohomology, and some applications in physics / |c José A. de Azcárraga and José M. Izquierdo. |
| 260 | |a Cambridge [England] ; |a New York : |b Cambridge University Press, |c 1995. | ||
| 300 | |a 1 online resource (xvii, 455 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
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| 490 | 1 | |a Cambridge monographs on mathematical physics | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Lie groups. | |
| 650 | 0 | |a Lie algebras. | |
| 650 | 0 | |a Homology theory. | |
| 650 | 0 | |a Mathematical physics. | |
| 650 | 7 | |a Homology theory. |2 fast |0 (OCoLC)fst00959720 | |
| 650 | 7 | |a Lie algebras. |2 fast |0 (OCoLC)fst00998125 | |
| 650 | 7 | |a Lie groups. |2 fast |0 (OCoLC)fst00998135 | |
| 650 | 7 | |a Mathematical physics. |2 fast |0 (OCoLC)fst01012104 | |
| 700 | 1 | |a Izquierdo, José M. | |
| 776 | 0 | 8 | |i Print version: |a Azcárraga, J.A. de, 1941- |t Lie groups, Lie algebras, cohomology, and some applications in physics. |d Cambridge [England] ; New York : Cambridge University Press, 1995 |w (DLC) 94016809 |
| 830 | 0 | |a Cambridge monographs on mathematical physics. | |
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