Gessel, Ira M. 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 Cited in 7 ReviewsCited in 119 Documents MSC: 05A17 Combinatorial aspects of partitions of integers 05A10 Factorials, binomial coefficients, combinatorial functions Keywords:P-partitions; multipartite partitions; skew Schur functions PDF BibTeX XML