Modules of CovariantsExplores the decomposition of the circle of the coordinate ring of a G variety into a direct sum of simple submodules.
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.
Linearly reductive groupsDiscusses linearly reductive groups and their properties, focusing on completely reducible representations and equivalent modules.
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.
