Lectures related to Unipotent Elements

Explores direct products in group theory, including semi-direct products and group properties.

Explores small order groups, group morphisms, and the second isomorphism theorem.

Delves into push-out and quotients in group theory, emphasizing homomorphisms and normal subgroups.

Covers the fundamentals of group theory in physics, focusing on symmetries and transformations leaving physical equations unchanged.

Explores the uniqueness of push-outs in group quotients, focusing on specific cases and implications.

Covers special cases in group theory, focusing on group actions and functors.

Covers the concept of the free product in group theory and how to determine monomorphisms and homomorphisms.

Explores the uniqueness of amalgams in group theory through examples and diagrams.

Covers the concept of amalgams, defining pushouts and quotient groups in group theory.

Explores the class equation and Burnside's lemma in group theory.