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 groups...

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Autore principale: Kosmann-Schwarzbach, Yvette, 1941-...., mathématicienne
Altri autori: Singer, Stephanie Frank, 1964- (Traduttore)
Natura: Livre numérique
Lingua:Anglais
Pubblicazione: New York, NY : Springer New York [20..].
Cham : Springer Nature
Edizione:First.
Serie:Universitext
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Edition sous un autre format:• Groups and symmetries, from finite groups to Lie groups, Yvette Kosmann-Schwarzbach, 2010, New York, Springer, 1 vol. (XV-194 p.), Universitext, 978-0-387-78865-4
• Groups and Symmetries, Texte imprimé, 9780387570419
• Groups and symmetries, from finite groups to Lie groups, Yvette Kosmann-Schwarzbach, 2010, New York, Springer, 1 vol. (XV-194 p.), Universitext, 978-0-387-78865-4
Descrizione
Riassunto: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
Descrizione del documento:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Bibliografia:Bibliogr. Notes bibliogr. Index
ISBN:9780387788661
ISSN:2191-6675
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