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Polynomial Relations for q-Characters via the ODE/IM Correspondence
Репозиторій DSpace/Manakin
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- Фізико-технічні та математичні науки
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8
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Polynomial Relations for q-Characters via the ODE/IM Correspondence
Інший ID:
2010 Mathematics Subject Classification: 81R10; 17B37; 81R50
DOI: http://dx.doi.org/10.3842/SIGMA.2012.028
DOI: http://dx.doi.org/10.3842/SIGMA.2012.028
Посилання:
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.
Підтримка:
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.
Дата:
2012
Переглядів:
493
Завантажень:
240
Анотація:
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).
