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We prove the periodicities of the restricted T and Y-systems associated with the quantum affine algebra of type C_r, F_4, and G_2 at any level.
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A. Kuniba, Thermodynamics of the U q ( X r ( 1 ) ) U_{q}(X^{(1)}_{r}) Bethe ansatz system with q q a root of unity, Nucl. Phys
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A. Kuniba, T. Nakanishi, J. Suzuki, Functional relations in solvable lattice models: I. Functional relations and representation theory, Int. J. Mod. Phys. A
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S. Fomin, A. Zelevinsky, Y-systems and generalized associahedra, Ann. of Math
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S. Fomin, A. Zelevinsky, Cluster algebras IV. Coefficients, Compositio Mathematica
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Cited alongside, same era.
Cited in the paper.
Cited in the paper.
Cited in the paper.
R. Inoue, O. Iyama, A. Kuniba, T. Nakanishi, J. Suzuki, Periodicities of T-systems and Y-systems, Nagoya Math. J
2010
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B. Keller, Cluster algebras, quiver representations and triangulated categories, in Triangulated categories
2010
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