General Group Actions

Related lectures (30)

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Discusses the formulation of G-morphisms within vector spaces and topological spaces.

Explores equivariance in group actions and functors, demonstrating its importance in group theory.

Explores adjoint functors, points fixes, orbits, and non-trivial actions in group theory.

Covers the concept of functors, assigning morphisms and dual spaces in different categories.

Showcases examples of group actions on vector spaces and topological spaces.

Covers adjunctions and limits, focusing on functors, co-limits, and their applications in category theory.

Generalizes group actions beyond sets, providing a comprehensive framework for various mathematical contexts.

Explores a concrete example of adjunction in category theory and covers natural transformations and group theory concepts.

Explores natural transformations in category theory with a focus on the functor L and its algebraic properties.

Covers direct sums of abelian groups, group actions, and vector spaces, including coproducts and homomorphisms.