Processing math: 100%

Identifier
Values
['A',1] => ([],1) => [2] => 1
['A',2] => ([(0,2),(1,2)],3) => [3,2] => 0
['B',2] => ([(0,3),(1,3),(3,2)],4) => [4,2] => 1
['G',2] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => [6,2] => 0
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Description
The number of permutations whose cube equals a fixed permutation of given cycle type.
For example, the permutation π=412365 has cycle type (4,2) and 234165 is the unique permutation whose cube is π.
Map
rowmotion cycle type
Description
The cycle type of rowmotion on the order ideals of a poset.
Map
to root poset
Description
The root poset of a finite Cartan type.
This is the poset on the set of positive roots of its root system where α≺β if β−α is a simple root.