Lectures related to Group Theory in Physics

Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.

Covers the role of symmetries and groups in quantum mechanics, focusing on SU2 and SU3, their properties, and implications for physical theories.

Explores Lie groups, scalar fields, and vector spaces transformations.

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

Covers the goals and motivations of representation theory, focusing on associative algebras and homomorphisms.

Explores fundamental groups, homotopy classes, and coverings in connected manifolds.

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Delves into symmetries in physics, covering group theory, perturbation, and quantification.

Covers the representation of Lorentz transformations through general fields and the consequences of symmetry.