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Isomorphism of categories
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Related lectures (8)
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Introduction to Category Theory: Natural Transformations
Introduces natural transformations in category theory through concrete examples from group theory.
Natural Transformations: Epsilon Transformation
Explores the epsilon transformation in group theory and category theory, emphasizing linearity and naturality.
Symmetry and Group Theory: Exercise Set 4
Explores symmetry operations, isomorphic representations, and three-dimensional group representations.
Category Theory: Natural Transformations and Adjunctions
Explores natural transformations and adjunctions in category theory, illustrating concepts through concrete examples and discussing the conditions for the existence of adjoints.
Group Representations: Matrices and Symmetry
Explores group representations using matrices, discussing reducible vs. irreducible representations and the Great Orthogonality Theorem.
Symmetry and Group Theory
Covers symmetry operations, isomorphic representations, and point groups in molecules.
Equivalences of Categories
Explores examples of natural transformations, equivalence of categories, and adjunction with specific instances involving Un.
Fundamental Groups
Explores fundamental groups, homotopy classes, and coverings in connected manifolds.
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