Polynomial Relations for q-Characters via the ODE/IM Correspondence

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2012
• Main Author: Sun, J.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2012
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148425
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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).