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Related lectures (32)
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Group Actions: G-objects in a Concrete Category
Explores G-objects in a concrete category and the framework for group actions.
Restriction Functors: Group Actions
Introduces the concept of restriction functors in group actions.
Active Learning: Products and Categories
Discusses the properties of products in categories and their relationship with small and arbitrary categories.
Functor Hom: Abelian Groups
Explores the Hom functor in Abelian groups, focusing on its construction and properties.
Natural Transformations: Functor L
Explores natural transformations in category theory with a focus on the functor L and its algebraic properties.
Transfer of Model Structures
Covers the transfer of model structures through adjunctions in the context of model categories.
Group Operations and Homomorphisms in Abelian Groups
Explores operations on abelian groups, Homomorphisms, adjoints, and morphisms in group theory.
Divisibility and Torsion
Explores divisibility and torsion in group theory, focusing on defining a functor that preserves divisibility.
Free Abelian Group: Construction and Properties
Explores the construction and properties of the free abelian group FAb(X) and its categorical extensions.
Lie Algebra Homomorphisms
Explores the association of Lie algebras to algebraic groups and homomorphisms.