Course

Classification of semi-simple Lie algebras.

Geometric formulation of Hamiltonian mechanics

SU(2) recoupling theory/Clebsh-Gordan coefficients - From SU(2) to SU(N)/Young tableaux.

Constraints, Introduction to symplectic geometry

su(2) irreducible representation - More about group representation theory.

Hamilton's function, Liouville's theorem, Hamilton-Jacobi equation, Complete integrability

Lie algebras: generators, structure constants and representations.

Hamiltonian mechanics: Hamilton's equations, Poisson brackets, Canonical transformations

Lie derivative, Differential forms, Geometric formulation of Lagrangian mechanics

Why is group theory really interesting for physicists?; A first catalogue ; Lie algebras

Introduction to differential geometry: manifolds and tensors