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Proceedings of the American Mathematical Society

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Symmetric functions: a bijective identity


Authors: N. Metropolis and Gian-Carlo Rota
Journal: Proc. Amer. Math. Soc. 102 (1988), 218-220
MSC: Primary 05A19
DOI: https://doi.org/10.1090/S0002-9939-1988-0915748-4
MathSciNet review: 915748
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Abstract: We give a bijective proof of a classical identity which we have named the cyclotomic identity.


References [Enhancements On Off] (What's this?)

  • [1] P. Doubilet, On the foundations of combinatorial theory. VII: Symmetric functions through the theory of distribution and occupancy, Stud. Appl. Math. 51 (1972), 377-396. MR 0429577 (55:2589)
  • [2] P. A. MacMahon, Combinatory analysis. I, Chelsea, New York, 1960. MR 0141605 (25:5003)
  • [3] I. G. MacDonald, Symmetric functions and Hall polynomials, Clarendon Press, Oxford, 1979. MR 553598 (84g:05003)

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DOI: https://doi.org/10.1090/S0002-9939-1988-0915748-4
Article copyright: © Copyright 1988 American Mathematical Society

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