Subgroups and subalgebrasExplores the unique determination of homomorphisms by differentials and the intersection of closed subgroups' Lie algebras.
Connected ComponentsCovers the concept of connected components in linear algebraic groups and their relationship to singular groups.
Diagonalizable GroupsExplores the concept of diagonalizable groups and their properties in linear algebraic groups.
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.
