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Cover: 9780521597005 | Lie Groups, Lie Algebras, Cohomology and Some Applications in Physics
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Lie Groups, Lie Algebras, Cohomology and Some Applications in Physics
Taschenbuch von Jose A. de Azcarraga
Sprache: Englisch

104,95 €*

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Beschreibung
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.
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.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2008
Genre: Importe, Physik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521597005
ISBN-10: 0521597005
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: de Azcarraga, Jose A.
Hersteller: Cambridge University Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 244 x 170 x 26 mm
Von/Mit: Jose A. de Azcarraga
Erscheinungsdatum: 20.03.2008
Gewicht: 0,814 kg
Artikel-ID: 106813793
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2008
Genre: Importe, Physik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521597005
ISBN-10: 0521597005
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: de Azcarraga, Jose A.
Hersteller: Cambridge University Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 244 x 170 x 26 mm
Von/Mit: Jose A. de Azcarraga
Erscheinungsdatum: 20.03.2008
Gewicht: 0,814 kg
Artikel-ID: 106813793
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