Polynomial Relations for q-Characters via the ODE/IM Correspondence
Let Uq(b) be the Borel subalgebra of a quantum affine algebra of type X⁽¹⁾n (X=A,B,C,D). Guided by the ODE/IM correspondence in quantum integrable models, we propose conjectural polynomial relations among the q-characters of certain representations of Uq(b).
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2012 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2012
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/148425 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Polynomial Relations for q-Characters via the ODE/IM Correspondence / J. Sun // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 29 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862668126754177024 |
|---|---|
| author | Sun, J. |
| author_facet | Sun, J. |
| citation_txt | Polynomial Relations for q-Characters via the ODE/IM Correspondence / J. Sun // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 29 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | Let Uq(b) be the Borel subalgebra of a quantum affine algebra of type X⁽¹⁾n (X=A,B,C,D). Guided by the ODE/IM correspondence in quantum integrable models, we propose conjectural polynomial relations among the q-characters of certain representations of Uq(b).
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| first_indexed | 2025-12-07T15:24:17Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148425 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T15:24:17Z |
| publishDate | 2012 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Sun, J. 2019-02-18T12:14:31Z 2019-02-18T12:14:31Z 2012 Polynomial Relations for q-Characters via the ODE/IM Correspondence / J. Sun // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 29 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 81R10; 17B37; 81R50 DOI: http://dx.doi.org/10.3842/SIGMA.2012.028 https://nasplib.isofts.kiev.ua/handle/123456789/148425 Let Uq(b) be the Borel subalgebra of a quantum affine algebra of type X⁽¹⁾n (X=A,B,C,D). Guided by the ODE/IM correspondence in quantum integrable models, we propose conjectural polynomial relations among the q-characters of certain representations of Uq(b). The author would like to express her deep gratitude to Professor Michio Jimbo for his valuable advices, great helps and kindness, and to Professor Hidetaka Sakai for his constant encouragement during the course of the present work. She wishes to thank also Professor Junji Suzuki for helpful discussions. Finally the author would like to thank the anonymous referees for comments and suggestions that improved the paper greatly. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Polynomial Relations for q-Characters via the ODE/IM Correspondence Article published earlier |
| spellingShingle | Polynomial Relations for q-Characters via the ODE/IM Correspondence Sun, J. |
| title | Polynomial Relations for q-Characters via the ODE/IM Correspondence |
| title_full | Polynomial Relations for q-Characters via the ODE/IM Correspondence |
| title_fullStr | Polynomial Relations for q-Characters via the ODE/IM Correspondence |
| title_full_unstemmed | Polynomial Relations for q-Characters via the ODE/IM Correspondence |
| title_short | Polynomial Relations for q-Characters via the ODE/IM Correspondence |
| title_sort | polynomial relations for q-characters via the ode/im correspondence |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148425 |
| work_keys_str_mv | AT sunj polynomialrelationsforqcharactersviatheodeimcorrespondence |