Covers the properties of nilpotent Lie groups and the construction of non-degenerate alternating 2-forms.
Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.
Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.
Covers the background on symplectic geometry, focusing on symplectic manifolds and canonical structures.
Explores the proof of the Weyl character formula for finite-dimensional representations of semisimple Lie algebras.
