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Bulletin of the American Mathematical Society

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An inversion formula involving partitions


Author: Peter Doubilet
Journal: Bull. Amer. Math. Soc. 79 (1973), 177-179
MSC (1970): Primary 05A17; Secondary 05B20
MathSciNet review: 0307933
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References [Enhancements On Off] (What's this?)

  • 1. Philip Hall, The algebra of partitions, Proc. Fourth Canad. Math. Congr. (Banff 1957), 1959, pp. 147-159.
  • 2. Donald E. Knuth, Permutations, matrices, and generalized Young tableaux, Pacific J. Math. 34 (1970), 709–727. MR 0272654
  • 3. C. Schensted, Longest increasing and decreasing subsequences, Canad. J. Math. 13 (1961), 179–191. MR 0121305
  • 4. M. P. Schützenberger, Quelques remarques sur une construction de Schensted, Math. Scand. 12 (1963), 117–128 (French). MR 0190017
  • 5. Richard P. Stanley, Theory and application of plane partitions. I, II, Studies in Appl. Math. 50 (1971), 167–188; ibid. 50 (1971), 259–279. MR 0325407

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DOI: https://doi.org/10.1090/S0002-9904-1973-13143-X