Concept
Socle (mathematics)
Related lectures (4)
Group Algebra: Maschke's Theorem
Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.
Rings and Modules: Lecture 1
Covers rings, modules, exact sequences, and finitely generated modules in the context of Noetherian and Artinian properties.
Weyl character formula
Explores the proof of the Weyl character formula for finite-dimensional representations of semisimple Lie algebras.