- FindStat

Identifier

St000856: Finite Cartan types ⟶ ℤ

Values

=>
                            Cc0022;cc-rep
                            
                            
                            

                        ['A',1]=>2
['A',2]=>3
['B',2]=>5
['G',2]=>6
['A',3]=>5
['B',3]=>10
['C',3]=>10
['A',4]=>7
['B',4]=>20
['C',4]=>20
['D',4]=>13
['F',4]=>25
['A',5]=>11
['B',5]=>36
['C',5]=>36
['D',5]=>18
['A',6]=>15
['B',6]=>65
['C',6]=>65
['D',6]=>37
['E',6]=>25
['A',7]=>22
['B',7]=>110
['C',7]=>110
['D',7]=>55
['E',7]=>60
['A',8]=>30
['B',8]=>185
['C',8]=>185
['D',8]=>100
['E',8]=>112
                    

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Description

The number of conjugacy classes in the Weyl group of a finite Cartan type.

Code

def statistic(cartan_type):
    W = ReflectionGroup(cartan_type)
    return len(W.conjugacy_classes_representatives())

Created

Jun 25, 2017 at 10:23 by Christian Stump

Updated

Jun 25, 2017 at 10:23 by Christian Stump