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Symmetry, Integrability and Geometry: Methods and Applications, 2012, Volume 8, 028, 34 pp.
DOI: https://doi.org/10.3842/SIGMA.2012.028 (Mi sigma705) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Polynomial relations for $q$-characters via the ODE/IM correspondence

Juanjuan Sun

Graduate School of Mathematical Sciences, The University of Tokyo, Komaba, Tokyo 153-8914, Japan
Full-text PDF (615 kB) Citations (14)
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DOI: https://doi.org/10.3842/SIGMA.2012.028
Abstract: Let $U_q(\mathfrak{b})$ 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 $U_q(\mathfrak{b})$.
Keywords: Borel subalgebra, $q$-character, Baxter's $Q$-operator, ODE/IM correspondence.
Received: January 8, 2012; in final form May 10, 2012; Published online May 15, 2012
Bibliographic databases:
Document Type: Article
MSC: 81R10, 17B37, 81R50
Language: English
Citation: Juanjuan Sun, “Polynomial relations for $q$-characters via the ODE/IM correspondence”, SIGMA, 8 (2012), 028, 34 pp.
Citation in format AMSBIB
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\by Juanjuan Sun
\paper Polynomial relations for $q$-characters via the ODE/IM correspondence
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\papernumber 028
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    		Symmetry, Integrability and Geometry: Methods and Applications
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