Group Actions: G-object Notion

This lecture introduces a categorical framework for group actions, focusing on the concept of G-objects. Starting with a generalization of group actions, the instructor discusses the definition of G-objects in a category C. The lecture explores the notion of G-objects in detail, emphasizing the role of group homomorphisms and automorphisms. Through examples and explanations, the instructor illustrates how G-objects are defined and characterized within a category, providing insights into their properties and applications.