Fundamental GroupsExplores fundamental groups, homotopy classes, and coverings in connected manifolds.
Group CohomologyCovers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
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.
Group representations constructionsExplores the construction of group representations through various methods and provides an illustrative example using the standard representation of sr2 on c2.
Isotypic DecompositionCovers the isotopic decomposition of modules into simple components and their properties.