Synopsis
§1Tensor Products.- §2 Tensor Algebras.- §3 Symmetric Functions.- §4 Calculus of Arrays, Tableaux, and Diagrams.- §5 Basic Notions of Representation Theory.- §6 Representations of Finite Groups in Greater Detail.- §7 Representations of Symmetric Groups.- §8 sl_2-Modules.- §9 Categories and Functors.- §10 Extensions of Commutative Rings.- §11 Affine Algebraic Geometry.- §12 Algebraic Manifolds.- §13 Algebraic Field Extensions.- §14 Examples of Galois Groups.- References.- Hints to Some Exercises.- Index.
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