Active Learning: Group Theory

Related lectures (32)

Page 3 of 4

Delves into the categorical framework for group actions and the correspondence between G-actions on c and functors from BG to C.

Provides an overview of categories, functors, and natural transformations in mathematics.

Explores functors between categories and the conditions for left and right adjoints.

Explores the concept of free abelian groups as an important left adjoint functor.

Explores homotopical algebra examples and adjunctions, focusing on left and right adjoints in group functors and coproducts.

Covers the definition of generators of the conformal group and the application of Wick's theorem.

Delves into symmetries in physics, covering group theory, perturbation, and quantification.

Introduces the basics of group theory, defining groups, categories, and groupoids.

Explores group actions on spaces, including fixed points and non-trivial actions.

Covers the concept of functors in category theory, including composition, identity functors, and forgotten functors.