论文标题
对经典Weyl群中Shi区域的最小元素的描述
A description of the minimal elements of Shi regions in classical Weyl Groups
论文作者
论文摘要
在这个扩展的摘要中，我们展示了[Athanasiadis，Linusson '99]（以$ a_n $）和[Armstrong，Reiner，Rhoades '15]（在$ $ B_N，C_N，D_N，D_N $中）如何计算Shiiemion elements的计算。这给出了这些最小元素的组合解释：它们可以看作是计算非巢弧图中的非跨弧。
In this extended abstract, we show how a bijection between parking functions and regions of the Shi arrangement from [Athanasiadis, Linusson '99] (in type $A_n$) and [Armstrong, Reiner, Rhoades '15] (in type $B_n, C_n, D_n$) allows for the computation of the minimal elements of the Shi regions. This gives a combinatorial interpretation of these minimal elements: they can be seen as counting non-crossing arcs in non-nesting arc diagrams.
