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.
Structure of AlgebrasCovers the structure of finite dimensional algebras and the characterization of semisimple algebras.
Group CohomologyCovers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
Isotypic DecompositionCovers the isotopic decomposition of modules into simple components and their properties.
