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The Representation Theory of the Symmetric Groups de G.D. James

The Representation Theory of the Symmetric Groups: Lecture Notes in Mathematics, cartea 682

Autor G.D. James
en Limba Engleză Paperback – oct 1978

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Specificații

ISBN-13: 9783540089483
ISBN-10: 3540089489
Pagini: 164
Ilustrații: VIII, 160 p.
Dimensiuni: 155 x 235 x 9 mm
Greutate: 0.24 kg
Ediția:1978
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.