Abstract
There is a non-commutative combinatorial setting in which the up-down structure of permutations can most naturally be studied. In this setting the definition of various differential and integral operators and different types of substitution operations provides us with the tools and language needed to derive and express many of the laws governing these combinatorial structures.
Keywords
- Nous Avons
- Permutation Classees
- Nous Obtenons
- Nous Devon
- Grand Element
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Références bibliographiques
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MacMahon P.A., Combinatory analysis, Vol. I, II, Chelsea Publishing company, N.Y., 1960, Vol. I, pp 187–196.
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© 1986 Springer-Verlag
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Longtin, A. (1986). Une combinatoire non-commutative pour l'etude des nombres secants. In: Labelle, G., Leroux, P. (eds) Combinatoire énumérative. Lecture Notes in Mathematics, vol 1234. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072519
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DOI: https://doi.org/10.1007/BFb0072519
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