Explores the concept of diagonalizable groups and their properties in linear algebraic groups.
Explores fundamental groups, homotopy classes, and coverings in connected manifolds.
Covers the concept of connected components in linear algebraic groups and their relationship to singular groups.
Covers the concepts of groups, products, and homomorphisms, focusing on the hx set and group alternates.
Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.
Introduces the basics of group theory, covering definitions, examples, subgroups, and homomorphisms.
Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.
