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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
scan of Zbl 0487.20007

Cited in 32 Reviews
Cited in 1437 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
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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.