Groups and Manifolds - Fré, Pietro G.;Fedotov, Alexander
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Groups and Manifolds is an introductory, yet a complete self-contained course on mathematics of symmetry: group theory and differential geometry of symmetric spaces, with a variety of examples for physicists, touching briefly also on super-symmetric field theories. The core of the course is focused on the construction of simple Lie algebras, emphasizing the double interpretation of the ADE classification as applied to finite rotation groups and to simply laced simple Lie algebras. Unique features of this book are the full-fledged treatment of the exceptional Lie algebras and a rich collection…mehr

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Produktbeschreibung
Groups and Manifolds is an introductory, yet a complete self-contained course on mathematics of symmetry: group theory and differential geometry of symmetric spaces, with a variety of examples for physicists, touching briefly also on super-symmetric field theories. The core of the course is focused on the construction of simple Lie algebras, emphasizing the double interpretation of the ADE classification as applied to finite rotation groups and to simply laced simple Lie algebras. Unique features of this book are the full-fledged treatment of the exceptional Lie algebras and a rich collection of MATHEMATICA Notebooks implementing various group theoretical constructions.
Autorenporträt
Pietro Guiseppe Fré, University of Turin, Italy; Alexander M. Fedotov, National Research Nuclear University MEPHI, Moscow, Russia.
Rezensionen
"[...] an excellent book, a very useful addition for any academic library."
Gabriel Eduard Vilcu in: Zentralblatt MATH 1385

"[...] the sheer number of topics covered in this book does give it considerable value as a reference for graduate students (and faculty) in both physics and mathematics." MAA Reviews