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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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2007 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2007
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| Онлайн доступ: | 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 |
| Цитувати: | The 6 Vertex Model and Schubert Polynomials / A. Lascoux // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 18 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862693291567349760 |
|---|---|
| author | Lascoux, A. |
| author_facet | Lascoux, A. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
|
| first_indexed | 2025-12-07T16:20:24Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147835 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T16:20:24Z |
| publishDate | 2007 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | The 6 Vertex Model and Schubert Polynomials Lascoux, A. |
| title | 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_short | The 6 Vertex Model and Schubert Polynomials |
| title_sort | 6 vertex model and schubert polynomials |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147835 |
| work_keys_str_mv | AT lascouxa the6vertexmodelandschubertpolynomials AT lascouxa 6vertexmodelandschubertpolynomials |