The representation theory of the symmetric groups
著者
書誌事項
The representation theory of the symmetric groups
(Lecture notes in mathematics, 682)
Springer-Verlag, 1978
- : Berlin
- : New York
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注記
Bibliography: p. [153]-154
Includes index
内容説明・目次
目次
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.- Young's 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 .- Young's orthogonal form.- Representations of the general linear group.
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