Active Learning: Group Structures and Symmetric Actions

Related lectures (30)

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Explores the universal property of groups, defining homomorphisms and exploring subgroup properties.

Covers the fundamental concepts of group theory and examples of real numbers and permutations.

Explores subsets and subgroups related to group actions on sets.

Explores commutative groups, Euler's Totient Function, and Cartesian products in group theory.

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

Covers active learning, video lectures, exercises, categories, group actions, and abelian groups.

Covers the fundamentals of group theory in physics, focusing on symmetries and transformations leaving physical equations unchanged.

Explores the local structure of totally disconnected locally compact groups and their isomorphisms through conjugation.

Explores the motivations for studying actions through the universal action of bijections.

Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.