Lie Algebra: Group TheoryExplores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.
Symmetry: Noether TheoremExplores the consequences of symmetry, focusing on the Noether Theorem and coordinated charges in Lie groups.
Global Conservation LawsExplores the dynamical consequences of symmetry, emphasizing conservation laws and the role of Noether currents.
Group Theory in PhysicsCovers the fundamentals of group theory in physics, focusing on symmetries and transformations leaving physical equations unchanged.
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.