TY - BOOK
AU - Kosmann-Schwarzbach,Yvette
ED - SpringerLink (Online service)
TI - Groups and Symmetries: From Finite Groups to Lie Groups
T2 - Universitext
SN - 9780387788661
AV - QA150-272
U1 - 512 23
PY - 2010///
CY - New York, NY
PB - Springer New York
KW - Mathematics
KW - Algebra
KW - Group theory
KW - Applied mathematics
KW - Engineering mathematics
KW - Physics
KW - Quantum physics
KW - Crystallography
KW - Group Theory and Generalizations
KW - Applications of Mathematics
KW - Theoretical, Mathematical and Computational Physics
KW - Quantum Physics
N1 - 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
N2 - 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
UR - http://dx.doi.org/10.1007/978-0-387-78866-1
ER -