Macdonald, I. G. Symmetric functions and Hall polynomials. (English) Zbl 0487.20007 Oxford Mathematical Monographs. Oxford: Clarendon Press. VIII, 180 p. £13.50 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 32 ReviewsCited in 1353 Documents MSC: 20C30 Representations of finite symmetric groups 20-02 Research exposition (monographs, survey articles) pertaining to group theory 05-02 Research exposition (monographs, survey articles) pertaining to combinatorics 05A15 Exact enumeration problems, generating functions 05A17 Combinatorial aspects of partitions of integers Keywords:problems; symmetric functions; Schur functions; representations of symmetric groups; Young diagrams; plane partitions; Hall polynomials; Hall-Littlewood polynomials; Green polynomials; general linear groups Citations:Zbl 0225.05012; Zbl 0225.05011 PDF BibTeX XML OpenURL Online Encyclopedia of Integer Sequences: Number of pairs of partitions of n that are successors in reverse lexicographic order, but incomparable in dominance (natural, majorization) ordering.