- FindStat

Identifier

St001158: Finite Cartan types ⟶ ℤ

Values

=>
                            Cc0022;cc-rep
                            
                            
                            

                        ['A',1]=>1
['A',2]=>1
['B',2]=>2
['G',2]=>2
['A',3]=>4
['B',3]=>5
['C',3]=>5
['A',4]=>6
['B',4]=>14
['C',4]=>14
['D',4]=>6
['F',4]=>15
['A',5]=>19
['B',5]=>42
['C',5]=>42
['D',5]=>26
['A',6]=>49
['B',6]=>132
['C',6]=>132
['D',6]=>80
['E',6]=>67
['A',7]=>150
['B',7]=>429
['C',7]=>429
['D',7]=>246
['E',7]=>416
['A',8]=>442
['B',8]=>1430
['C',8]=>1430
['D',8]=>810
['E',8]=>1574
                    

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Description

The size of the mutation class of quivers of given type.

References

[1] Musiker, G., Stump, C. A compendium on the cluster algebra and quiver package in \tt Sage MathSciNet:2862990

Code

def statistic(C):
    return QuiverMutationType(C.type(), C.rank()).class_size()

Created

Apr 20, 2018 at 22:08 by Martin Rubey

Updated

Apr 20, 2018 at 22:08 by Martin Rubey