Tensor Product: Bilinear MapsCovers the concept of tensor product in the context of bilinear maps and explores the uniqueness of tensor products.
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.
Rings and Modules: Lecture 1Covers rings, modules, exact sequences, and finitely generated modules in the context of Noetherian and Artinian properties.
Linearly reductive groupsDiscusses linearly reductive groups and their properties, focusing on completely reducible representations and equivalent modules.
Modules and NamespacesExplores Python modules, program hierarchy, module importing, and namespaces, including variables and scopes within functions.
Group representations constructionsExplores the construction of group representations through various methods and provides an illustrative example using the standard representation of sr2 on c2.