- FindStat

Identifier

St001495: Finite Cartan types ⟶ ℤ

Values

=>
                            Cc0022;cc-rep
                            
                            
                            

                        ['A',1]=>2
['A',2]=>3
['B',2]=>4
['G',2]=>6
['A',3]=>4
['B',3]=>6
['C',3]=>6
['A',4]=>6
['B',4]=>8
['C',4]=>8
['D',4]=>6
['F',4]=>12
['A',5]=>6
['B',5]=>12
['C',5]=>12
['D',5]=>12
['A',6]=>12
['B',6]=>12
['C',6]=>12
['D',6]=>12
['E',6]=>12
                    

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Description

The maximal order of an element in the Weyl group of a given Cartan type.
For the symmetric group, this is oeis:A000793

References

[1] user66288 The maximal order of an element in a Coxeter group MathOverflow:343118

Code

def statistic(C):
    return max(g.order() for g in WeylGroup(C))

Created

Nov 13, 2019 at 08:55 by Martin Rubey

Updated

Nov 13, 2019 at 08:55 by Martin Rubey