- FindStat

Identifier

St000960: Finite Cartan types ⟶ ℤ

Values

=>
                            Cc0022;cc-rep
                            
                            
                            

                        ['A',1]=>2
['A',2]=>5
['B',2]=>6
['G',2]=>7
['A',3]=>12
['B',3]=>14
['C',3]=>14
['A',4]=>29
['B',4]=>34
['C',4]=>34
['D',4]=>28
['F',4]=>33
['A',5]=>70
['B',5]=>82
['C',5]=>82
['D',5]=>68
['A',6]=>169
['B',6]=>198
['C',6]=>198
['D',6]=>164
['E',6]=>165
['A',7]=>408
['B',7]=>478
['C',7]=>478
['D',7]=>396
['E',7]=>398
['A',8]=>985
['B',8]=>1154
['C',8]=>1154
['D',8]=>956
['E',8]=>961
['A',9]=>2378
['B',9]=>2786
['C',9]=>2786
['D',9]=>2308
['A',10]=>5741
['B',10]=>6726
['C',10]=>6726
['D',10]=>5572
                    

search for individual values

searching the database for the individual values of this statistic

/ search for generating function

searching the database for statistics with the same generating function

click to show known generating functions

Description

The permanent of the Cartan matrix of a finite Cartan type.

Code

def statistic(ct):
    return ct.cartan_matrix().permanent()

Created

Aug 28, 2017 at 16:53 by Christian Stump

Updated

Aug 28, 2017 at 16:53 by Christian Stump