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Lecture
Group Theory: Subgroups and General Group Actions
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Related lectures (32)
Group Theory: Adjoint Functors and G-sets
Explores adjunction between functors, composition of applications, G-equivariance, and natural transformations in G-sets.
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Explores natural transformations between functors, emphasizing their composition-preserving properties and significance in category theory.
Introduction to Category Theory: Adjoint Functors
Explores a concrete example of adjunction in category theory and covers natural transformations and group theory concepts.
Adjunctions and Limits: Exploring Functors and Co-limits
Covers adjunctions and limits, focusing on functors, co-limits, and their applications in category theory.
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Explores adjoint functors, points fixes, orbits, and non-trivial actions in group theory.
Limits and colimits: Introduction, Chapter 1(c)
Introduces limits and colimits in a category, covering their properties and uniqueness.
Group Morphisms: G-equivariant, Chapter III
Discusses the formulation of G-morphisms within vector spaces and topological spaces.
Limits and Colimits: Understanding Categories
Explores limits and colimits in category theory, discussing their definitions, properties, and applications, including the non-existence of limits in certain categories and the relationships between limits and colimits under functors.
Generalization of Category Equivalence
Introduces an important generalization of category equivalence and its implications for group theory.
Group Actions: Equivariance and Functors
Explores equivariance in group actions and functors, demonstrating its importance in group theory.
Natural Transformations: Functor L
Explores natural transformations in category theory with a focus on the functor L and its algebraic properties.
Active Learning Session
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