Classification of ExtensionsExplores the classification of extensions in group theory, emphasizing split extensions and semi-direct products.
Galois CorrespondenceCovers the Galois correspondence, establishing a bijection between certain classes of groups and coverings.
Tensor Product of RepresentationsCovers the tensor product of representations, symmetries of a triangle, irreducible representations, and practical applications in physics.
Group Theory: Part 2Delves into advanced group theory concepts such as isomorphisms and homomorphisms.
Schur Lemmas, Part 1Explores Schur Lemmas, group representations, and stability properties in group theory.
Fundamental GroupsExplores fundamental groups, homotopy classes, and coverings in connected manifolds.
Symmetry and Group TheoryExplores chirality, group completeness, Abelian groups, conjugate classes, and isomorphic groups in symmetry and group theory.
Linear Molecules: CarbonCovers the properties of linear molecules in carbon and discusses neutral elements, associative law, and conjugate elements.
