- FindStat

Identifier

St001370: Finite Cartan types ⟶ ℤ

Values

=>
                            Cc0022;cc-rep
                            
                            
                            

                        ['A',1]=>2
['A',2]=>3
['B',2]=>5
['G',2]=>14
['A',3]=>6
['B',3]=>21
['C',3]=>14
['A',4]=>10
['B',4]=>84
['C',4]=>48
['D',4]=>28
['F',4]=>1274
['A',5]=>20
['B',5]=>330
['C',5]=>165
['D',5]=>120
['A',6]=>35
['B',6]=>1287
['C',6]=>572
['D',6]=>495
['E',6]=>2925
['A',7]=>70
['B',7]=>5005
['C',7]=>2002
['D',7]=>2002
['E',7]=>365750
['A',8]=>126
['B',8]=>19448
['C',8]=>7072
['D',8]=>8008
                    

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Description

The degree of the largest fundamental representation associated with a Cartan type.

Code

def statistic(C):
    W = WeylCharacterRing(C)
    return max(W(w).degree() for w in W.fundamental_weights())

Created

Mar 17, 2019 at 09:42 by Martin Rubey

Updated

Mar 17, 2019 at 09:42 by Martin Rubey