Group Theory: BasicsCovers the basics of group theory, including sets, applications, and examples like permutations and rotations.
The Role of SymmetriesDelves into symmetries in physics, covering group theory, perturbation, and quantification.
Fundamental GroupsExplores fundamental groups, homotopy classes, and coverings in connected manifolds.
Lie Algebra: Group TheoryExplores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.
Cohomology: Cross ProductExplores cohomology and the cross product, demonstrating its application in group actions like conjugation.
Homogeneous SpacesExplores formogenic spaces, topological groups, quotients, and rotations on the unit sphere.