Periodicities of T-systems and Y-systems

DOI 被引用文献2件

この論文をさがす

説明

<jats:p>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<jats:italic>A</jats:italic>and<jats:italic>C</jats:italic>, and the direct method for types<jats:italic>A, D</jats:italic>, and<jats:italic>B</jats:italic>(level 2).</jats:p>

収録刊行物

被引用文献 (2)*注記

もっと見る

キーワード

詳細情報 詳細情報について

問題の指摘

ページトップへ