“…Symmetric group…”

“…Representation theory of the symmetric group…”

Table of Contents: “…§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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Table of Contents: “…(F) Isotropic cubic crystals4.2 Wave propagation in elastic solids; 4.3 Hydrodynamics; References; Problems; 5 TENSORS AS A BASIS OF GROUP REPRESENTATIONS; 5.1 Introduction; 5.2 The abstract notion of a group; 5.3 The symmetric group Sn; 5.4 Representations of groups; 5.5 Irreducible representations of the symmetric group Sn; 5.6 Product representations; 5.7 Representations of the general linear group; 5.8 Representations of the full orthogonal group; References; Problems; 6 QUANTUM MECHANICS AS A LINEAR THEORY; 6.1 Introduction; 6.2 Eigenfunction expansions for self-adjoint operators…”
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