Periodicities of T-Systems and Y-Systems

  title={Periodicities of T-Systems and Y-Systems},
  author={Osamu Iyama and ATSUO KUNIBA and Tomoki Nakanishi and Junji Suzuki},
The unrestricted T-system is a family of relations in the Grothendieck ring of the category of the finite-dimensional modules of the Yangian or the quantum affine algebra associated with a complex simple Lie algebra. The unrestricted T-system admits a reduction called the restricted T-system. In this paper we formulate the periodicity conjecture for the restricted T-systems, which is the counterpart of the known and partially proved periodicity conjecture for the restricted Y-systems. Then, we… CONTINUE READING
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