H. Georgi, Lie Algebras in Particle Physics, Westview Press, 1999.

J. Fuchs and C. Schweigert, Symmetries, Lie Algebras and Representations, Cambridge University Press, 1997

J.F. Cornwell, Group Theory in Physics, Vol. I and Vol.II, Academic Press

Basic Notions of Group Theory, Finite Groups

Algebras, Lie Algebras, and Lie Groups, general considerations

Representation Theory of Lie Algebras and Lie Groups Classical Lie Groups, SU(N), SO(2N), SO(2N+1)

Roots, Weights, Dynkin Diagrams,

Tensor products of representations,

Enveloping Algebras, Casimir Operators, Tensor Operators and Invariant Tensors

Representations on Function spaces

Lorentz Group

Applications in Physics