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On the product of generating functions for domino and bi-tableaux

Abstract : The connection between the generating functions of various sets of tableaux and the appropriate families of quasisymmetric functions is a significant tool to give a direct analytical proof of some advanced bijective results and provide new combinatorial formulas. In this paper we focus on two kinds of type B Littlewood-Richardson coefficients and derive new formulas using weak composition quasisymmetric functions and Chow's quasisymmetric functions. In the type A case these coefficients give the multiplication table for Schur functions, i.e. the generating functions for classical Young tableaux. We look at their generalisations involving a set of bi-tableaux and domino tableaux.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-03092817
Contributor : Ekaterina Vassilieva Connect in order to contact the contributor
Submitted on : Saturday, January 2, 2021 - 11:33:52 PM
Last modification on : Thursday, January 7, 2021 - 3:41:22 AM
Long-term archiving on: : Saturday, April 3, 2021 - 8:41:22 PM

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  • HAL Id : hal-03092817, version 1
  • ARXIV : 1911.10430

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Ekaterina A. Vassilieva. On the product of generating functions for domino and bi-tableaux. 2019. ⟨hal-03092817⟩

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