论文标题

减少堆,装饰的图表和类型$ c $的Aggine templey-lieb代数

Heaps reduction, decorated diagrams, and the affine Temperley-Lieb algebra of type $C$

论文作者

Biagioli, Riccardo, Calussi, Gabriele, Fatabbi, Giuliana

论文摘要

在本文中,我们提出了一个组合框架,以研究ERNST引入的C型C型Temperley-Lieb代数的图表表示。在此过程中,我们定义了两个程序,图表上的装饰算法和独立关注的堆的还原算法。使用这种方法,提供了ERNST表示图的明确算法描述,可以从中推导其忠诚。我们还提供了反图的构造。

In this paper we propose a combinatorial framework to study a diagrammatic representation of the affine Temperley-Lieb algebra of type C introduced by Ernst. In doing this, we define two procedures, a decoration algorithm on diagrams and a reduction algorithm on heaps of independent interest. Using this approach, an explicit algorithmic description of Ernst representation map is provided from which its faithfulness can be deduced. We also give a construction of the inverse map.

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