Lectures related to Isotypic Decomposition: Finitely Generated C-Algebras

Covers the concept of algebraic quotients in the context of a-variety.

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

Covers rings, modules, exact sequences, and finitely generated modules in the context of Noetherian and Artinian properties.

Explores the embedding of chi-varieties into vector spaces with linear actions.

Introduces the regular representation, a key tool for studying group actions on varieties.

Introduces Noetherian modules and explores simple modules and composition series.

Explores flat groups of automorphisms and their properties, including minimization functions and invariance under specific conditions.

Covers the fundamental theorem of finitely generated modules over a PID.

Covers the topology of Riemann surfaces and the concept of triangulation using finitely many triangles.