Lectures related to Symmetric Group and Group Actions

Covers group actions, conjugacy classes, centralizers, direct products, and finite abelian groups.

Covers the definition of a group, properties of symmetries, and group operations.

Explores differentiable ranking and sorting techniques for machine learning applications.

Explores Lie algebras, representations, tensor products, and commutation relations in mathematics.

Explores solutions of the 2018 exam, finite fields, group theory, congruences, and polynomial irreducibility in Q[X].

Covers alternating and symmetric multilinear forms in vector spaces over a field.

Explores the beautiful properties of the p-Sylow subgroups of a finite group.

Explores the applications of Lagrange's theorem in algebra, covering corollaries, cyclic groups, and quotient groups.