Groups and Symmetries From Finite Groups to Lie Groups /

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 gr...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Kosmann-Schwarzbach, Yvette (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2010.
Edición:1st ed. 2010.
Colección:Universitext,
Temas:
Algebra.
Group theory.
Mathematics.
Mathematical physics.
Quantum physics.
Crystallography.
Group Theory and Generalizations.
Applications of Mathematics.
Theoretical, Mathematical and Computational Physics.
Quantum Physics.
Crystallography and Scattering Methods.
Acceso en línea:Texto Completo

MARC

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245 1 0 |a Groups and Symmetries  |h [electronic resource] :  |b From Finite Groups to Lie Groups /  |c by Yvette Kosmann-Schwarzbach. 
250 |a 1st ed. 2010. 
264 1 |a New York, NY :  |b Springer New York :  |b Imprint: Springer,  |c 2010. 
300 |a XVI, 196 p. 44 illus.  |b online resource. 
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490 1 |a Universitext,  |x 2191-6675 
505 0 |a 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. 
520 |a 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. 
650 0 |a Algebra. 
650 0 |a Group theory. 
650 0 |a Mathematics. 
650 0 |a Mathematical physics. 
650 0 |a Quantum physics. 
650 0 |a Crystallography. 
650 1 4 |a Algebra. 
650 2 4 |a Group Theory and Generalizations. 
650 2 4 |a Applications of Mathematics. 
650 2 4 |a Theoretical, Mathematical and Computational Physics. 
650 2 4 |a Quantum Physics. 
650 2 4 |a Crystallography and Scattering Methods. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9780387570419 
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830 0 |a Universitext,  |x 2191-6675 
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950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713) 

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