Lectures related to Free algebra

Explores Schur's lemma and its applications in representations of an associative algebra over an algebraically closed field.

Covers rings and modules, emphasizing color codes and homological algebra concepts.

Covers the goals and motivations of representation theory, focusing on associative algebras and homomorphisms.

Explores systems of equations, vector operations, and geometric interpretations in linear algebra.

Covers tensor algebras, symmetric and exterior algebras, and tensor products of modules.

Covers matrix notation for linear equations, solutions, and geometric interpretations.