Group Actions: G-equivariant Morphisms

This lecture introduces the concept of G-equivariant morphisms in the context of group actions. It covers the categorical framework for group actions, defining G-objects in a category and G-equivariant morphisms. The lecture explains the notation and terminology related to G-objects, emphasizing the importance of natural transformations. It further explores the identification of G-equivariant morphisms between functors and the conditions for such morphisms. The lecture concludes by discussing G-equivariant morphisms between G-sets, highlighting the properties and requirements for these morphisms.