Lie Algebra: Group TheoryExplores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.
Group Theory BasicsCovers the basics of group theory, including elements, associativity, identity, inverses, and closure.
Group Algebra: Maschke's TheoremExplores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.
Monstrous MoonshineExplores Monstrous Moonshine, focusing on the 1979 discovery and its mathematical connections.
Proof of ExistenceExplores morphisms in group theory, focusing on proving their existence and uniqueness through mathematical reasoning.
Topology of AdelesCovers the topology of Adeles and their relationship with quadratic forms, polynomial varieties, and finiteness properties.
Structure of AlgebrasCovers the structure of finite dimensional algebras and the characterization of semisimple algebras.
