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The Representation Theory of the Symmetric Groups (Lecture Notes in Mathematics)

SKU: 9783540089483

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The Representation Theory of the Symmetric Groups (Lecture Notes in Mathematics), N.G. Markley, 9783540089483

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Background from representation theory.- The symmetric group.- Diagrams, tableaux and tabloids.- Specht modules.- Examples.- The character table of .- The garnir relations.- The standard basis of the specht module.- The branching theorem.- p-regular partitions.- The irreducible representations of .- Composition factors.- Semistandard homomorphisms.- Youngs rule.- Sequences.- The Littlewood-richardson rule.- A specht series for M?.- Hooks and skew-hooks.- The determinantal form.- The hook formula for dimensions.- The murnaghan-nakayama rule.- Binomial coefficients.- Some irreducible specht modules.- On the decomposition matrices of .- Youngs orthogonal form.- Representations of the general linear group.

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