Lie Group
Lie Group & Representation
Lie group and their representation are widely used math and physics.
This is such a huge topic, and this page is content list of that.
Introduction
Weyl group and Character Formula
Spinor Representation
Non-Compact (spacetime) Group
Euclidean Group
Lorentz Group
Conformal Group
Super Lie Algebra
Supersymmetry
Batalin-Vilkovsky algebra
Gerstenhaber algebra
Geometry
Lie group is group manifold, so it can be analyzed through analysis.
In physics, Lie group act fibre bundle on spacetime manifold like gauge group.
Manifold, Differential Geometry, Fibre Bundle
Quantum Group
Universal Enveloping Algebra
Affine Lie Algebra
Hopf Algebra
Reference
Howard Georgi - Lie Algebras in Particle Physics
Zee - Group Theorey in a Nutshell for Physicists
Wess&Bagger - Supersymmetry and Supergravity
mf23.web.rice.edu
Quantum Groups in Two-dimensional Physics
A Guide to Quantum Group
Mathematical Quantization
Geomertrix Quantization
Quantum Theory for Mathematicians
Affine Lie Algebras and Quantum Groups
Fulton, Harris - Representation Theory A first course
Hall - Lie Groups, Lie Algebras, and Representations
Derksen, Kemper - Computational Invariant Theory