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Multipartite P-partitions and inner products of skew Schur functions. (English) Zbl 0562.05007
Combinatorics and algebra, Proc. Conf., Boulder/Colo. 1983, Contemp. Math. 34, 289-301 (1984).
[For the entire collection see Zbl 0546.00008.]
A generalization of Stanley’s theory of P-partitions to multipartite partitions is developed, which is used to count r-tuples of permutations whose product is a given permutation according to their descent sets. The theory gives a combinatorial interpretation to numbers associated with inner products of certain skew Schur functions.
Reviewer: J.Cigler

MSC:
05A17 Combinatorial aspects of partitions of integers
05A10 Factorials, binomial coefficients, combinatorial functions