Groups and Symmetries
From Finite Groups to Lie Groups
Kosmann-Schwarzbach, Yvette.
creator
author.
SpringerLink (Online service)
text
xxu
2010
First.
monographic
eng
access
XVI, 196 p. 44 illus. online resource.
Unlike many other texts, this book deals with the theory of representations of finite groups, compact groups, linear Lie groups and their Lie algebras, concisely and in one volume. Key Topics: • Brisk review of the basic definitions of group theory, with examples • Representation theory of finite groups: character theory • Representations of compact groups using the Haar measure • Lie algebras and linear Lie groups • Detailed study of SO(3) and SU(2), and their representations • Spherical harmonics • Representations of SU(3), roots and weights, with quark theory as a consequence of the mathematical properties of this symmetry group This book is illustrated with portraits and a few historical remarks. With only linear algebra and calculus as prerequisites, Groups and Symmetries: From Finite Groups to Lie Groups is accessible to advanced undergraduates in mathematics and physics, and will still be of interest to beginning graduate students. Exercises for each chapter and a collection of problems with complete solutions make this an ideal text for the classroom and for independent study.
General Facts About Groups -- Representations of Finite Groups -- Representations of Compact Groups -- Lie Groups and Lie Algebras -- Lie Groups SU(2) and SO(3) -- Representations of SU(2) and SO(3) -- Spherical Harmonics -- Representations of SU(3) and Quarks.
by Yvette Kosmann-Schwarzbach.
Mathematics
Algebra
Group theory
Applied mathematics
Engineering mathematics
Physics
Quantum physics
Crystallography
Mathematics
Algebra
Group Theory and Generalizations
Applications of Mathematics
Theoretical, Mathematical and Computational Physics
Quantum Physics
Crystallography
QA150-272
512
Springer eBooks
Universitext
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http://dx.doi.org/10.1007/978-0-387-78866-1
http://dx.doi.org/10.1007/978-0-387-78866-1
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20180115171424.0
978-0-387-78866-1