Group Actions: G-equivariant Morphisms

Related lectures (32)

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Covers categories, functors, and presheaf categories, exploring the relationships between objects and morphisms.

Introduces functors, including identity and forgetful functors, and explores duality functors.

Explores G-objects in a concrete category and the framework for group actions.

Provides an overview of categories, functors, and natural transformations in mathematics.

Delves into functors, natural transformations, and group actions with explicit examples.

Explores adjunction between functors, composition of applications, G-equivariance, and natural transformations in G-sets.

Covers natural transformations between functors, identity transformations, and equivalence of categories.

Covers group quotient, group actions, and functors connecting sets and G-sets.

Explores constructing desired adjoints in specific categories like Set.

Explores the construction of G-sets and left adjoint functors in category theory.