Identifier
Identifier
Values
['A',1] generating graphics... => 1
['A',2] generating graphics... => 2
['B',2] generating graphics... => 2
['G',2] generating graphics... => 2
['A',3] generating graphics... => 3
['B',3] generating graphics... => 3
['C',3] generating graphics... => 3
['A',4] generating graphics... => 6
['B',4] generating graphics... => 8
['C',4] generating graphics... => 8
['D',4] generating graphics... => 8
['F',4] generating graphics... => 16
['A',5] generating graphics... => 16
['B',5] generating graphics... => 20
['C',5] generating graphics... => 20
['D',5] generating graphics... => 20
['A',6] generating graphics... => 35
['B',6] generating graphics... => 80
['C',6] generating graphics... => 80
['D',6] generating graphics... => 45
['E',6] generating graphics... => 90
['A',7] generating graphics... => 90
['B',7] generating graphics... => 210
['C',7] generating graphics... => 210
['D',7] generating graphics... => 210
['E',7] generating graphics... => 512
['A',8] generating graphics... => 216
['B',8] generating graphics... => 672
['C',8] generating graphics... => 672
['D',8] generating graphics... => 672
['E',8] generating graphics... => 7168
click to show generating function       
Description
The maximal dimension of an irreducible representation of the Weyl group of a finite Cartan type.
Code
def statistic(cartan_type):
    W = ReflectionGroup(cartan_type)
    return max( chi(W.one()) for chi in W.irreducible_characters() )

Created
Jun 25, 2017 at 20:00 by Christian Stump
Updated
Jun 25, 2017 at 20:00 by Christian Stump