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.
Symmetry: Noether TheoremExplores the consequences of symmetry, focusing on the Noether Theorem and coordinated charges in Lie groups.
Structure of AlgebrasCovers the structure of finite dimensional algebras and the characterization of semisimple algebras.
Nilpotent Lie GroupsCovers the properties of nilpotent Lie groups and the construction of non-degenerate alternating 2-forms.
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.
