Subrepresentations of the regular representation

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

Covers the isotopic decomposition of modules into simple components and their properties.

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

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

Covers ideals, representations, modules, and maximal ideals in associative algebras.