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Identifier
Values
['A',1] => 1
['A',2] => 2
['B',2] => 2
['G',2] => 2
['A',3] => 3
['B',3] => 3
['C',3] => 3
['A',4] => 4
['B',4] => 4
['C',4] => 4
['F',4] => 4
['A',5] => 5
['B',5] => 5
['C',5] => 5
['D',5] => 5
['A',6] => 6
['B',6] => 6
['C',6] => 6
['D',6] => 6
['E',6] => 6
['A',7] => 7
['B',7] => 7
['C',7] => 7
['D',7] => 7
['E',7] => 7
['A',8] => 8
['B',8] => 8
['C',8] => 8
['D',8] => 8
['E',8] => 8
['A',9] => 9
['A',10] => 10
['B',9] => 9
['B',10] => 10
['C',9] => 9
['C',10] => 10
['D',9] => 9
['D',10] => 10
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Description
The rank of the Cartan type.
The rank of a Cartan type $X_n$ is equal to the rank of the corresponding Cartan matrix.
Code
def statistic(ct):
    return ct.rank()
Created
Jun 15, 2013 at 15:31 by Travis Scrimshaw
Updated
Dec 28, 2016 at 10:47 by Christian Stump