Weyl character formulaExplores the proof of the Weyl character formula for finite-dimensional representations of semisimple Lie algebras.
Lie Algebra: Group TheoryExplores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.
Cohomology: Cross ProductExplores cohomology and the cross product, demonstrating its application in group actions like conjugation.
Isotypic DecompositionCovers the isotopic decomposition of modules into simple components and their properties.
Tensor Product: Bilinear MapsCovers the concept of tensor product in the context of bilinear maps and explores the uniqueness of tensor products.
Group CohomologyCovers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
