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Identifier
Values
=>
Cc0022;cc-rep
['A',1]=>1 ['A',2]=>2 ['B',2]=>2 ['G',2]=>2 ['A',3]=>3 ['B',3]=>3 ['C',3]=>3 ['A',4]=>6 ['B',4]=>8 ['C',4]=>8 ['D',4]=>8 ['F',4]=>16 ['A',5]=>16 ['B',5]=>20 ['C',5]=>20 ['D',5]=>20 ['A',6]=>35 ['B',6]=>80 ['C',6]=>80 ['D',6]=>45 ['E',6]=>90 ['A',7]=>90 ['B',7]=>210 ['C',7]=>210 ['D',7]=>210 ['E',7]=>512 ['A',8]=>216 ['B',8]=>672 ['C',8]=>672 ['D',8]=>672 ['E',8]=>7168
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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