Explores fundamental groups, homotopy classes, and coverings in connected manifolds.
Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.
Explores Riemannian connections on manifolds, emphasizing smoothness and compatibility with the metric.
Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.
Explores chirality, group completeness, Abelian groups, conjugate classes, and isomorphic groups in symmetry and group theory.
