The representation theory of the symmetric groups
Author(s)
Bibliographic Information
The representation theory of the symmetric groups
（Lecture notes in mathematics, 682）
Springer-Verlag, 1978
- : Berlin
- : New York
Available at / 63 libraries
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Library & Science Information Center, Osaka Prefecture University
: New YorkNDC8:410.8||||10007154414
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||6827808948S
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science数学
: Berlin/J 2332021011751
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Note
Bibliography: p. [153]-154
Includes index
Description and Table of Contents
Table of Contents
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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