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Symmetry, Integrability and Geometry: Methods and Applications, 2007, Volume 3, 029, 12 pp.
DOI: https://doi.org/10.3842/SIGMA.2007.029 (Mi sigma155) 		 
This article is cited in 13 scientific papers (total in 13 papers)

The 6 Vertex Model and Schubert Polynomials

Alain Lascoux

Université de Marne-La-Vallée, 77454, Marne-La-Vallée, France
Full-text PDF (236 kB) Citations (13)
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DOI: https://doi.org/10.3842/SIGMA.2007.029
Abstract: We enumerate staircases with fixed left and right columns. These objects correspond to ice-configurations, or alternating sign matrices, with fixed top and bottom parts. The resulting partition functions are equal, up to a normalization factor, to some Schubert polynomials.
Keywords: alternating sign matrices; Young tableaux; staircases; Schubert polynomials; integrable systems.
Received: October 24, 2006; Published online February 23, 2007
Bibliographic databases:
Document Type: Article
MSC: 05E15; 82B23
Language: English
Citation: Alain Lascoux, “The 6 Vertex Model and Schubert Polynomials”, SIGMA, 3 (2007), 029, 12 pp.
Citation in format AMSBIB
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\by Alain Lascoux
\paper The 6~Vertex Model and Schubert Polynomials
\jour SIGMA
\yr 2007
\vol 3
\papernumber 029
\totalpages 12
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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