A combinatorial ??₂-action and the Sperner property for the weak order
A combinatorial ??₂-action and the Sperner property for the weak order
复制标题
弱序的组合 ??β 作用和 Sperner 性质
DOI：
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发表时间：
2018
影响因子：
1
通讯作者：
Yibo Gao
中科院分区：
文献类型：
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作者：
Christian Gaetz;Yibo Gao
我们构造一个简单的组合定义的表示
We construct a simple combinatorially-defined representation of
s
l
2
\mathfrak {sl}_2
which respects the order structure of the weak order on the symmetric group. This is used to prove that the weak order has the strong Sperner property, and is therefore a Peck poset, solving a problem raised by Björner [Orderings of Coxeter groups, Amer. Math. Soc., Providence, RI, 1984, pp. 175–195]; a positive answer to this question had been conjectured by Stanley [Some Schubert shenanigans, preprint, 2017].
舒伯特多项式的导数和斯坦利行列式猜想的证明
影响因子：
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作者：
Hamaker, Zachary;Pechenik, Oliver;Speyer, David E;Weigandt, Anna
通讯作者：
Weigandt, Anna