Lectures related to Composition series

Introduces Noetherian modules and explores simple modules and composition series.

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

Explores the decomposition of the circle of the coordinate ring of a G variety into a direct sum of simple submodules.

Covers matrix operations and properties of matrices, including symmetric and anti-symmetric matrices.

Delves into the Jordan decomposition in Lie algebras of linear algebraic groups.