Lectures related to Symmetry and Group Theory

Explores subgroups, normal subgroups, cosets, and Lagrange's theorem in group theory, emphasizing the importance of left cosets.

Explores the applications of Lagrange's theorem in algebra, covering corollaries, cyclic groups, and quotient groups.

Explores group homomorphisms, constructing isomorphisms between groups using generators and relations.

Explores finitely generated abelian groups, focusing on their structure and isomorphism theorems.

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

Explores group theory in quantum physics, emphasizing reducible and irreducible representations, conservation laws, and group properties.

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

Explores the local structure of totally disconnected locally compact groups and their isomorphisms through conjugation.