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＜電子ブック＞
Groups and Symmetries : From Finite Groups to Lie Groups / by Yvette Kosmann-Schwarzbach
(Universitext. ISSN:21916675)

版	1st ed. 2010.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	2010
本文言語	英語
大きさ	XVI, 196 p. 44 illus : online resource
著者標目	*Kosmann-Schwarzbach, Yvette author SpringerLink (Online service)
件　名	LCSH:Algebra LCSH:Group theory LCSH:Mathematics LCSH:Mathematical physics LCSH:Quantum physics LCSH:Crystallography FREE:Algebra FREE:Group Theory and Generalizations FREE:Applications of Mathematics FREE:Theoretical, Mathematical and Computational Physics FREE:Quantum Physics FREE:Crystallography and Scattering Methods
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-0-387-78866-1

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