- FindStat

Identifier

St001952: Finite Cartan types ⟶ ℤ

Values

=>
                            Cc0022;cc-rep
                            
                            
                            

                        ['A',1]=>1
['A',2]=>1
['B',2]=>3
['G',2]=>3
['A',3]=>2
['B',3]=>5
['C',3]=>5
['A',4]=>2
['B',4]=>8
['C',4]=>8
['D',4]=>6
['F',4]=>7
['A',5]=>3
['B',5]=>11
['C',5]=>11
['D',5]=>5
['A',6]=>3
['B',6]=>15
['C',6]=>15
['D',6]=>10
['E',6]=>4
['A',7]=>4
['B',7]=>19
['C',7]=>19
['D',7]=>9
['E',7]=>9
['A',8]=>4
['B',8]=>24
['C',8]=>24
['D',8]=>15
['E',8]=>9
                    

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Description

The number of conjugacy classes in the Weyl group of finite Cartan type whose elements are involutions.

Code

def statistic(ct):
    return sum(1 for w in WeylGroup(ct).conjugacy_classes_representatives() if w.order() == 2)

Created

Jul 09, 2024 at 12:00 by Martin Rubey

Updated

Jul 09, 2024 at 12:00 by Martin Rubey