Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.
Covers the concept of tensor product in the context of bilinear maps and explores the uniqueness of tensor products.
Explores cohomology and the cross product, demonstrating its application in group actions like conjugation.
Explores the construction of group representations through various methods and provides an illustrative example using the standard representation of sr2 on c2.
Covers the structure of finite dimensional algebras and the characterization of semisimple algebras.
Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.
