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.
Linearly reductive groupsDiscusses linearly reductive groups and their properties, focusing on completely reducible representations and equivalent modules.
Classification of ExtensionsExplores the classification of extensions in group theory, emphasizing split extensions and semi-direct products.
Isotypic DecompositionCovers the isotopic decomposition of modules into simple components and their properties.
Group Theory BasicsIntroduces the basics of group theory, covering definitions, examples, subgroups, and homomorphisms.
Recap of Group TheoryProvides a recap of group theory, defining a group as a set with a multiplication operation.
Symmetry and Group TheoryExplores chirality, group completeness, Abelian groups, conjugate classes, and isomorphic groups in symmetry and group theory.
Structure of AlgebrasCovers the structure of finite dimensional algebras and the characterization of semisimple algebras.
