Symmetries and Group Theory in Particle Physics

From the reviews: "The aim of this textbook is to introduce students to group-theoretical aspects in particle physics. To achieve this, the authors first give a brief introduction to the structure of Lie groups and algebras. ... The main text is supplemented by a few indices with technical details on group theory, as well as a large set of exercises with solutions. ... the book is written in a readable and accessible manner. ... the collection of exercises makes it a valuable repository for lecturers." (Axel Maas, Mathematical Reviews, July, 2013) "The aim of the monograph is two-fold, to give the basic notions and facts from group and group representation theory for particle physics and to give a survey of their applications in relativistic quantum field theory and particle physics. Therefore it should be considered to be a good handbook." (Boris V. Loginov, Zentralblatt MATH, Vol. 1243, 2012)

• Introduction to Lie Groups and their Representations.- The Rotation Group.- The Homogeneous Lorentz Group.- The Poincare Transformation.- One Particle and Two Particle States.- Discrete Operations.- Relativistic Equations.- Unitary Symmetries.- Gauge Symmetries.- Rotation Matrices and Clebsch-Gordan Coeficients.- Symmetric Goups and Identical Particles.- Young Tableaux and Irreducible Representations ot he Unitary Groups.- Solutions.- Index.