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.
Nilpotent Lie GroupsCovers the properties of nilpotent Lie groups and the construction of non-degenerate alternating 2-forms.
The Role of SymmetriesDelves into symmetries in physics, covering group theory, perturbation, and quantification.
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.
