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The lattice of integer partitions. (English) Zbl 0283.06003

MSC:
06B05 Structure theory of lattices
05A17 Combinatorial aspects of partitions of integers
05B20 Combinatorial aspects of matrices (incidence, Hadamard, etc.)
11P81 Elementary theory of partitions
20C30 Representations of finite symmetric groups
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References:
[1] P. Doubilet, An inversion formula involving partitions, to appear. · Zbl 0277.05003
[2] Harper, L.; Rota, G.-C.; Dekker, L., Matching theory, an introduction, Advances in probability, Vol. 1, 171-215, (1971)
[3] R.A. Lieber and M.R. Vitale, Ordering the partition characters of the symmetric functions, to appear.
[4] Rota, G.-C., On the foundations of combinatorial theory, I.Z. wahrscheinlichkeitstheorie und verw. gebiete, 2, 340-368, (1964) · Zbl 0121.02406
[5] Ryser, H., Combinatorial mathematics, () · Zbl 0112.24806
[6] Snapper, E., Group characters and nonnegative integral matrices, J. algebra, 19, 520-535, (1971) · Zbl 0226.20008
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