Processing math: 100%

Identifier
Values
['A',1] => ([],1) => [2] => [1,1] => 0
['A',2] => ([(0,2),(1,2)],3) => [3,2] => [2,2,1] => 4
['B',2] => ([(0,3),(1,3),(3,2)],4) => [4,2] => [2,2,1,1] => 4
['G',2] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => [6,2] => [2,2,1,1,1,1] => 4
['A',3] => ([(0,4),(1,3),(2,3),(2,4),(3,5),(4,5)],6) => [8,4,2] => [3,3,2,2,1,1,1,1] => 4
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Description
Sum of the even parts of a partition.
Map
rowmotion cycle type
Description
The cycle type of rowmotion on the order ideals of a poset.
Map
conjugate
Description
Return the conjugate partition of the partition.
The conjugate partition of the partition λ of n is the partition λ∗ whose Ferrers diagram is obtained from the diagram of λ by interchanging rows with columns.
This is also called the associated partition or the transpose in the literature.
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.