Groups and Manifolds

Lectures for Physicists with Examples in Mathematica

Pietro Giuseppe Fré, Alexander Fedotov

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English

De Gruyter
18 December 2017

Algebra; Groups & group theory; Differential & Riemannian geometry; Quantum physics (quantum mechanics & quantum field theory); Mathematical physics

Series: De Gruyter Textbook

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.

By: Pietro Giuseppe Fré, Alexander Fedotov
Imprint: De Gruyter
Country of Publication: Germany
Dimensions: Height: 240mm, Width: 170mm, Spine: 28mm
Weight: 940g
ISBN: 9783110551198
ISBN 10: 3110551195
Series: De Gruyter Textbook
Pages: 496
Publication Date: 18 December 2017
Audience: College/higher education , Primary , Primary
Format: Paperback
Publisher's Status: Active

Pietro Guiseppe Fré, University of Turin, Italy; Alexander M. Fedotov, National Research Nuclear University MEPHI, Moscow, Russia.

Reviews for Groups and Manifolds: Lectures for Physicists with Examples in Mathematica

[...] 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