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The Representation Theory of the Symmetric Groups
- Editore:
Springer Berlin Heidelberg
- Collana:
- Lecture Notes In Mathematics
- EAN:
9783540089483
- ISBN:
3540089489
- Pagine:
- 164
- Formato:
- Paperback
- Lingua:
- Tedesco
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Descrizione The Representation Theory of the Symmetric Groups
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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