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Set-valued
domino tableaux and shifted set-valued domino tableaux
Florence Maas-Gariépy and Rebecca Patrias
Vol. 13 (2020), No. 5, 721–746
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Abstract |
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We prove -theoretic and shifted -theoretic analogues of the bijection of Stanton and White between domino tableaux and pairs of semistandard tableaux. As a result, we obtain product formulas for certain pairs of stable Grothendieck polynomials and certain pairs of -theoretic -Schur functions. |
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Keywords
set-valued tableaux, Schur functions, stable Grothendieck
polynomials, Lagrangian Grassmannian
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Mathematical Subject Classification 2010
Primary: 05E05
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Milestones
Received: 22 July 2018
Revised: 23 February 2020
Accepted: 10 August 2020
Published: 5 December 2020
Communicated by Kenneth S. Berenhaut
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Authors |
| Florence Maas-Gariépy | |
| Laboratoire de Combinatoire et
d’Informatique Mathématique Université du Québec à Montréal Montréal, QC Canada |
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| Rebecca Patrias | |
| Laboratoire de Combinatoire et
d’Informatique Mathématique Université du Québec à Montréal Montréal, QC Canada |
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