Lectures related to Schur's Lemma and Representations

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

Explores Lie groups, scalar fields, and vector spaces transformations.

Covers examples of group algebra decomposition and simple infinite-dimensional algebras.

Covers simple modules, endomorphisms, and Schur's lemma in module theory.

Explores chain complexes, abelian groups, homomorphisms, homology groups, and free abelian groups.

Explores the uniqueness of amalgams in group theory through examples and diagrams.

Covers linear representations, isomorphism, G modules, and classification of representations of C star and C plus.

Explores group homomorphisms, isomorphisms, and generators in abstract algebra.

Generalizes group actions beyond sets, providing a comprehensive framework for various mathematical contexts.