- FindStat

Identifier

St001886: 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]=>4
['C',3]=>4
['A',4]=>6
['B',4]=>10
['C',4]=>10
['D',4]=>10
['F',4]=>11
['A',5]=>14
['B',5]=>26
['C',5]=>26
['D',5]=>17
['A',6]=>34
['B',6]=>80
['C',6]=>80
['D',6]=>68
['E',6]=>42
['A',7]=>95
['B',7]=>246
['C',7]=>246
['D',7]=>146
['E',7]=>234
['A',8]=>280
['B',8]=>810
['C',8]=>810
['D',8]=>680
['E',8]=>844
                    

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Description

The number of orbits of the rowmotion operator on the root poset of a finite Cartan type.

Code

def statistic(ct):
    return len(ct.root_system().root_poset().rowmotion_orbits())

Created

Jan 06, 2023 at 19:24 by Martin Rubey

Updated

Jan 06, 2023 at 19:24 by Martin Rubey