杨-巴克斯特方程的解:二面体群代数的Drinfeld双六顶点模型的后代
Solutions of the Yang-Baxter equation: descendants of the six-vertex model from the Drinfeld doubles of dihedral group algebras
摘要:
利用二面体群的Drinfeld双的表示论,求解了杨-巴克斯特方程.使用二维表示恢复六顶点模型解。在任意维度的解决方案,这被视为后代的六顶点模型的情况下,然后使用张量积图的方法,最初制定的量子代数。与Fateev-Zamolodchikov模型的连接进行了讨论。
英文摘要:
The representation theory of the Drinfeld doubles of dihedral groups is used to solve the Yang-Baxter equation. Use of the 2-dimensional representations recovers the six-vertex model solution. Solutions in arbitrary dimensions, which are viewed as descendants of the six-vertex model case, are then obtained using tensor product graph methods which were originally formulated for quantum algebras. Connections with the Fateev-Zamolodchikov model are discussed.
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