Pinch and Fold: Fundamentals of Group Theory

Related lectures (31)

Page 3 of 4

Introduces subgroups and homomorphisms in group theory, with examples for illustration.

Explores active learning implications in understanding group structures and symmetric actions.

Covers special cases in group theory, focusing on group actions and functors.

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

Explores the transformation of vectors and tensors in quantum physics, emphasizing Lie groups and algebras.

Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.

Provides a recap of group theory, defining a group as a set with a multiplication operation.

Explores the lifting criterion for maps between path-connected and locally path-connected spaces.

Explores pointed mapping spaces, the exponential law, adjunction properties, and homotopic classes.

Explores k-fold degenerate sets of eigenfunctions and their basis for irreducible representations.