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RootPosetRowmotionOrder on CartanType ​

The order of rowmotion on the root poset: h where -1 is in the Weyl group, else 2 h.

On CartanType

Called as CombinatorialStat(x, "RootPosetRowmotionOrder"). The head's page has its examples.

Live

Distribution

Over FiniteCartanTypes at each size, tallied here in your browser; sizes past 6 are not offered.

FindStat St001887

The order of rowmotion on the root poset of a finite Cartan type.

ObjectValue
['A',1]2
['A',2]6
['A',3]8
['A',4]10
['A',5]12
['A',6]14
['A',7]16
['A',8]18

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001887 has the rest.