高等代數二   (91年度 下學期)

General theory of representations of finite groups: Maschke's theorem, characters, orthogonality relations, restricted and induced representations, Frobenius reciprocity. Representations of the symmetric groups: Young diagrams, Specht modules, branching rules, symmetric functions, Schur functions, characteristic map, the Littlewood-Richardson rule, Schur duality and polynomial functors. Commutative algebra: ring extensions, Noetherian rings and modules, Hilbert basis theorem, primary decomposition, Hilbert's Nullstellensatz, Dedekind domains, local rings, dimension theorem.

Bruce Sagan: The symmetric group Thomas Hungerford: Algebra Nathan Jacobson: Basic Algebra II Ernst Kunz: Introduction to commutative algebra and algebraic geometry

期中考，期末考，習題。