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- W2950467838 abstract "The unrestricted T-system is a family of relations in the Grothendieck ring of the category of the finite-dimensional modules of Yangian or 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 partially prove the conjecture by various methods: the cluster algebra and cluster category method for the simply laced case, the determinant method for types A and C , and the direct method for types A, D , and B (level 2)." @default.
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- W2950467838 date "2010-03-01" @default.
- W2950467838 modified "2023-09-27" @default.
- W2950467838 title "Periodicities of T-systems and Y-systems" @default.
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- W2950467838 doi "https://doi.org/10.1017/s0027763000009879" @default.
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