- FindStat

Identifier

St001887: Finite Cartan types ⟶ ℤ

Values

=>
                            Cc0022;cc-rep
                            
                            
                            

                        ['A',1]=>2
['A',2]=>6
['B',2]=>4
['G',2]=>6
['A',3]=>8
['B',3]=>6
['C',3]=>6
['A',4]=>10
['B',4]=>8
['C',4]=>8
['D',4]=>6
['F',4]=>12
['A',5]=>12
['B',5]=>10
['C',5]=>10
['D',5]=>16
['A',6]=>14
['B',6]=>12
['C',6]=>12
['D',6]=>10
['E',6]=>24
['A',7]=>16
['B',7]=>14
['C',7]=>14
['D',7]=>24
['E',7]=>18
['A',8]=>18
['B',8]=>16
['C',8]=>16
['D',8]=>14
['E',8]=>30
                    

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Description

The order of rowmotion on the root poset of a finite Cartan type.

Code

def statistic(ct):
    return lcm(len(o) for o in ct.root_system().root_poset().rowmotion_orbits())

Created

Jan 06, 2023 at 19:30 by Martin Rubey

Updated

Jan 06, 2023 at 19:30 by Martin Rubey