Lie Groups, Lie Algebras, Cohomology and Some Applications in Physics

De Azcarraga, Jose A.

Lie Groups, Lie Algebras, Cohomology and Some Applications in Physics - 1
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Livro novo; R�pido do Reino Unido; N�o ficar� desapontado - New book; Fast from the UK; Will not be disappointed

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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...

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Resumo

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. Lie Groups, Lie Algebras, Cohomology and Some Applications in Physics Foam book edition by De Azcarraga, Jose A.
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Características

Número de páginas

453

Editora

Cambridge University Press

Peso

802 g

Dimensão

247 x 174 x 24

Comprimento

17,1 cm

Largura

2,9 cm

Data de lançamento

06/08/1998

Altura

24,5 cm

Idiomas

and English

Tema

Matemática

Origem

United Kingdom

EAN

9780521597005

Publicidade
Publicidade