- FindStat

Identifier

St001148: Finite Cartan types ⟶ ℤ

Values

=>
                            Cc0022;cc-rep
                            
                            
                            

                        ['A',1]=>3
['A',2]=>8
['B',2]=>10
['G',2]=>14
['A',3]=>15
['B',3]=>21
['C',3]=>21
['A',4]=>24
['B',4]=>36
['C',4]=>36
['D',4]=>28
['F',4]=>52
['A',5]=>35
['B',5]=>55
['C',5]=>55
['D',5]=>45
['A',6]=>48
['B',6]=>78
['C',6]=>78
['D',6]=>66
['E',6]=>78
['A',7]=>63
['B',7]=>105
['C',7]=>105
['D',7]=>91
['E',7]=>133
['A',8]=>80
['B',8]=>136
['C',8]=>136
['D',8]=>120
['E',8]=>248
                    

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Description

The dimension of the adjoint representation of the Lie group of given type.

Code

def statistic(C):
    return WeylCharacterRing(C).adjoint_representation().degree()

Created

Apr 19, 2018 at 10:24 by Martin Rubey

Updated

Apr 19, 2018 at 10:24 by Martin Rubey