Background
Azcárraga, José Adolfo de was born on October 12, 1941 in Valencia, Spain. Son of Adolfo and Amparo (Feliu) de Azcárraga.
(Now in paperback, this book provides a self-contained int...)
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.
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Azcárraga, José Adolfo de was born on October 12, 1941 in Valencia, Spain. Son of Adolfo and Amparo (Feliu) de Azcárraga.
License Ciencias Físicas, Madrid University, 1962. Doctor of Philosophy in Physics, Barcelona University, 1968.
Associate professor Barcelona University, Spain, 1968—1973. Professor Salamanca University, Spain, 1974—1977, Valencia University, Spain, since 1978. Visiting scholar Cambridge University, England, 1969—1971, Oxford University, England, 1975—1976.
Visiting professor Cambridge University, 1988—1989, 1996—1997. Journal referee.
(Now in paperback, this book provides a self-contained int...)
Member Institute de Fisica Corpuscular, Spanish Physical Society, American Physical Society, European Physical Society, Mathematics and Physical Society.
Married Amparo Gomis. 3 children.