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.
Structure of AlgebrasCovers the structure of finite dimensional algebras and the characterization of semisimple algebras.
Quantum Mechanics RotationsDelves into quantum mechanical rotations, discussing SU(2), SO(3), group representations, and topological properties.
Lie Algebra: Group TheoryExplores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.
Group Theory: BasicsCovers the basics of group theory, including sets, applications, and examples like permutations and rotations.