Completely Reducible Representations

Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.

Covers the density theorem in representation theory, focusing on endomorphisms of simple finite-dimensional modules.

Covers the properties of finite dimensional algebras and non-semisimple representations.

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

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