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Identifier

St000113: Finite Cartan types ⟶ ℤ

Values

=>
                            Cc0022;cc-rep
                            
                            
                            

                        ['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