Generalized Non-Crossing Partitions and Buildings

Electronic Journal Of Combinatorics

Julia Heller¹ 

关键词: Generalized non-crossing partitions;    Buildings;    Hurwitz graph;    Supersolvability;   

DOI  :  

学科分类：离散数学和组合数学

来源: Electronic Journal Of Combinatorics

【 摘 要 】

For any finite Coxeter group $W$ of rank $n$ we show that the order complex of the lattice of non-crossing partitions $\mathrm{NC}(W)$ embeds as a chamber subcomplex into a spherical building of type $A_{n-1}$. We use this to give a new proof of the fact

【 授权许可】

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