论文标题

恒星因素化和非交叉分区

Star factorizations and noncrossing partitions

论文作者

Tenner, Bridget Eileen

论文摘要

我们开发了最小的透射恒星因化和非交叉分区之间的关系。这给了欧文和藤制的新组合证明,并提供了Kreweras结果的专业化。它也出现在对称群体上的poset中,其定义是由Bruhat Order的子字属性激励的。

We develop the relationship between minimal transitive star factorizations and noncrossing partitions. This gives a new combinatorial proof of a result by Irving and Rattan, and a specialization of a result of Kreweras. It also arises in a poset on the symmetric group whose definition is motivated by the Subword Property of the Bruhat order.

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