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.
Lie Algebra: Group TheoryExplores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.
Group Theory in PhysicsCovers the fundamentals of group theory in physics, focusing on symmetries and transformations leaving physical equations unchanged.
Classification of ExtensionsExplores the classification of extensions in group theory, emphasizing split extensions and semi-direct products.
Recap of Group TheoryProvides a recap of group theory, defining a group as a set with a multiplication operation.
Fundamental GroupsExplores fundamental groups, homotopy classes, and coverings in connected manifolds.
Cohomology: Cross ProductExplores cohomology and the cross product, demonstrating its application in group actions like conjugation.
