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.
Isotypic DecompositionCovers the isotopic decomposition of modules into simple components and their properties.
Modules of CovariantsExplores the decomposition of the circle of the coordinate ring of a G variety into a direct sum of simple submodules.
Diagonalizable GroupsExplores the concept of diagonalizable groups and their properties in linear algebraic groups.