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

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...

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Bibliographic Details
Main Authors: Fré, Pietro Giuseppe (Author), Fedotov, Alexander (Author)
Format: eBook
Language:English
Published: Berlin ; Boston : De Gruyter, 2017
Series:De Gruyter Textbook
Subjects:
Algebraic topology.
Group theory.
Manifolds (Mathematics)
Differentialgeometrie.
Lie-Algebra.
Supersymmetrie.
SCIENCE / Physics / Mathematical & Computational.
algebrická topológia
diferenciálna geometria
ISBN:9783110551204
Online Access: Get full text
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Summary: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.
Physical Description:1 online resource (496 p.)
ISBN:9783110551204

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