论文标题
恒星因素化和非交叉分区
Star factorizations and noncrossing partitions
论文作者
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.