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The representation theory of the symmetric groups is a classical topic that, since the pioneering work of Frobenius, Schur and Young, has grown into a huge body of theory, with many important connections to other areas of mathematics and physics. This self-contained book provides a detailed introduction to the subject, covering classical topics such as the Littlewood-Richardson rule and the Schur-Weyl duality. Importantly the authors also present many recent advances in the area, including Lassalle's character formulas, the theory of partition algebras, and an exhaustive exposition of the approach developed by A. M. Vershik and A. Okounkov. A wealth of examples and exercises makes this an ideal textbook for graduate students. It will also serve as a useful reference for more experienced researchers across a range of areas, including algebra, computer science, statistical mechanics and theoretical physics.

Symmetry groups --- Representations of groups --- Groupes symétriques --- Représentations de groupes --- Groupes symétriques --- Représentations de groupes --- Symmetry groups. --- Representations of groups. --- Groupes de symétrie --- Groupes de symétrie. --- Représentations de groupes. --- Groupes de symétrie. --- Représentations de groupes.

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Art --- Computer drawing. --- Geometry. --- Mathematics. --- Computer drawing --- Geometry --- Dessin par ordinateur --- Géométrie --- Mathematics --- Géométrie. --- Perspective. --- Perspective --- Groupes de symétrie --- Géometrie --- Groupes de symétrie --- Visualisation

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Group theory --- Ordered algebraic structures --- 512 --- Algebra --- 512 Algebra --- Groupes, Théorie des --- Symmetry groups --- Groupes de symétrie --- Symmetry groups. --- Groupes de symétrie --- Groupes, Théorie des --- Représentations de groupes

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Crystallography, Mathematical --- Cristallographie mathématique --- Crystallography, Mathematical. --- Cristallographie mathématique --- Geometry --- Géométrie euclidienne --- Symmetry --- Symétrie --- Cristallographie mathématique. --- Groupes de symétrie --- Cristallographie mathématique. --- Géométrie euclidienne --- Groupes de symétrie --- Symétrie

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Symmetry --- Proportion (Art) --- Aesthetics --- Symétrie --- Esthétique --- Groupes de symétrie. --- Symétrie (art) --- Symétrie --- Art et sciences. --- Symmetry (Mathematics) --- Art and science. --- Symmetry (Art) --- Symmetry groups. --- Mathématiques --- Mathématiques. --- Groupes de symétrie. --- Symétrie (art)