Categorical Perspective: Group Actions

Related lectures (30)

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Introduces functors in category theory and explains their composition.

Introduces the regular representation, a key tool for studying group actions on varieties.

Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.

Explores endomorphisms, matrix equivalence, and the adjoint map as a group homomorphism.

Explores active learning in Group Theory, focusing on products, coproducts, adjunctions, and natural transformations.

Covers simplicial and cosimplicial objects in category theory with practical examples.

Offers a recap on group theory, focusing on linear applications and bases.

Covers linear representations, isomorphism, G modules, and classification of representations of C star and C plus.

Covers the basics of categories and functors, exploring properties, composition, and uniqueness in category theory.

Introduces the concept of restriction functors in group actions.