The 6 Vertex Model and Schubert Polynomials
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.
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2007 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2007
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/147835 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | The 6 Vertex Model and Schubert Polynomials / A. Lascoux // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 18 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-147835 |
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Lascoux, A. 2019-02-16T09:04:38Z 2019-02-16T09:04:38Z 2007 The 6 Vertex Model and Schubert Polynomials / A. Lascoux // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 18 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 05E15; 82B23 https://nasplib.isofts.kiev.ua/handle/123456789/147835 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. This paper is a contribution to the Vadim Kuznetsov Memorial Issue ‘Integrable Systems and Related Topics’. The author benefits from the ANR project BLAN06-2 134516. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications The 6 Vertex Model and Schubert Polynomials Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
The 6 Vertex Model and Schubert Polynomials |
| spellingShingle |
The 6 Vertex Model and Schubert Polynomials Lascoux, A. |
| title_short |
The 6 Vertex Model and Schubert Polynomials |
| title_full |
The 6 Vertex Model and Schubert Polynomials |
| title_fullStr |
The 6 Vertex Model and Schubert Polynomials |
| title_full_unstemmed |
The 6 Vertex Model and Schubert Polynomials |
| title_sort |
6 vertex model and schubert polynomials |
| author |
Lascoux, A. |
| author_facet |
Lascoux, A. |
| publishDate |
2007 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/147835 |
| citation_txt |
The 6 Vertex Model and Schubert Polynomials / A. Lascoux // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 18 назв. — англ. |
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AT lascouxa the6vertexmodelandschubertpolynomials AT lascouxa 6vertexmodelandschubertpolynomials |
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2025-12-07T16:20:24Z |
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2025-12-07T16:20:24Z |
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1850867108642029568 |