Groups and Symmetries From Finite Groups to Lie Groups /

• Main Author: Kosmann-Schwarzbach, Yvette (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2010.
• Edition: First.
• Series: Universitext
• Subjects: Mathematics.; Algebra.; Group theory.; Applied mathematics.; Engineering mathematics.; Physics.; Quantum physics.; Crystallography.; Group Theory and Generalizations.; Applications of Mathematics.; Theoretical, Mathematical and Computational Physics.; Quantum Physics.

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...

Table of Contents:

• 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.