Fundamental GroupsExplores fundamental groups, homotopy classes, and coverings in connected manifolds.
Modules of CovariantsExplores the decomposition of the circle of the coordinate ring of a G variety into a direct sum of simple submodules.
Subgroups and subalgebrasExplores the unique determination of homomorphisms by differentials and the intersection of closed subgroups' Lie algebras.
Topological GroupsCovers the definition and examples of topological groups, focusing on actions of groups on spaces.