Groups and Manifolds : Lectures for Physicists with Examples in Mathematica

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Bibliographic Details
Title:	Groups and Manifolds : Lectures for Physicists with Examples in Mathematica
Description:	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.
Authors:	Pietro Giuseppe Fré, Alexander Fedotov
Resource Type:	eBook.
Subjects:	Algebraic topology, Group theory, Manifolds (Mathematics)
Categories:	SCIENCE / Physics / Mathematical & Computational, MATHEMATICS / Algebra / General, MATHEMATICS / Geometry / General, MATHEMATICS / Geometry / Differential, MATHEMATICS / Group Theory, SCIENCE / Physics / Quantum Theory
Database:	eBook Collection (EBSCOhost)

Description
Abstract:	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.
ISBN:	9783110551198 9783110551204 9783110551334