Group CohomologyCovers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
Cohomology: Cross ProductExplores cohomology and the cross product, demonstrating its application in group actions like conjugation.
Tensor Product: Bilinear MapsCovers the concept of tensor product in the context of bilinear maps and explores the uniqueness of tensor products.
Group Algebra: Maschke's TheoremExplores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.
Rings and Modules: Lecture 1Covers rings, modules, exact sequences, and finitely generated modules in the context of Noetherian and Artinian properties.
Modules and NamespacesExplores Python modules, program hierarchy, module importing, and namespaces, including variables and scopes within functions.
