论文标题

Type $ b $ permutohedron和间隔的poset作为tchebyshev变换

The type $B$ permutohedron and the poset of intervals as a Tchebyshev transform

论文作者

Hetyei, Gábor

论文摘要

我们表明,通过包含序列的Poset间隔的阶络合物是对原始Poset阶络合物的Tchebyshev三角剖分。除了研究这种转换的特性外,我们还表明,$ b $ permutohedron型的双重二元组合等同于悬浮布尔代数的间隔的序列复合体(除去了最小和最大元素)。

We show that the order complex of intervals of a poset, ordered by inclusion, is a Tchebyshev triangulation of the order complex of the original poset. Besides studying the properties of this transformation, we show that the dual of the type $B$ permutohedron is combinatorially equivalent to the suspension of the order complex of the poset of intervals of a Boolean algebra (with the minimum and maximum elements removed).

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