James, Gordon; Kerber, Adalbert [Cohn, P. M.; Robinson, Gilbert de B.] The representation theory of the symmetric group. Foreword by P. M. Cohn, introduction by G. de B. Robinson. (English) Zbl 0491.20010 Encyclopedia of Mathematics and Its Applications, Vol. 16. Reading, Massachusetts, etc.: Addison-Wesley Publishing Company, Advanced Book Program. XXVIII, 510 p. (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 20 ReviewsCited in 318 Documents MSC: 20C30 Representations of finite symmetric groups 20-02 Research exposition (monographs, survey articles) pertaining to group theory 20B30 Symmetric groups 05A17 Combinatorial aspects of partitions of integers 20G05 Representation theory for linear algebraic groups 20G15 Linear algebraic groups over arbitrary fields 05A15 Exact enumeration problems, generating functions Keywords:representation theory of symmetric groups; irreducible characters; symmetric functions; Schur functions; irreducible matrix representations; Young tableaux; modular representations; alternating groups; conjugacy classes; Young subgroups; dominance order; partitions; permutation characters; hook formula; tensor product; Littlewood-Richardson rule; wreath products; plethysm; multiply transitive groups; defect groups; decomposition matrices; Specht module; representations of general linear groups; Weyl modules; tables; bibliography Citations:Zbl 0025.00901; Zbl 0022.11807; Zbl 0038.016; Zbl 0102.020; Zbl 0232.20014; Zbl 0318.20005; Zbl 0393.20009; Zbl 0451.20037 PDF BibTeX XML OpenURL