Isomorphism in CategoriesCovers the concept of isomorphism in categories, defining morphisms with inverses and exploring automorphisms and groupoids.
Group CohomologyCovers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
Triangular IdentitiesCovers triangular identities, natural transformations, commutative diagrams, and adjunction notation in group and category theory.
Symmetry and Group TheoryExplores chirality, group completeness, Abelian groups, conjugate classes, and isomorphic groups in symmetry and group theory.
Active Learning SessionExplores natural transformations in group theory and category theory, emphasizing functor composition and morphism composition.