Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.
Covers the structure of finite dimensional algebras and the characterization of semisimple algebras.
Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.
Covers the isotopic decomposition of modules into simple components and their properties.
Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.
Explores the construction of group representations through various methods and provides an illustrative example using the standard representation of sr2 on c2.
Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
