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Identifier
Values
['A',1] => 1
['A',2] => 2
['B',2] => 2
['G',2] => 2
['A',3] => 3
['B',3] => 3
['C',3] => 3
['A',4] => 4
['B',4] => 6
['C',4] => 6
['D',4] => 6
['F',4] => 8
['A',5] => 5
['B',5] => 7
['C',5] => 7
['D',5] => 7
['A',6] => 7
['B',6] => 14
['C',6] => 14
['D',6] => 13
['E',6] => 12
['A',7] => 12
['B',7] => 16
['C',7] => 16
['D',7] => 16
['E',7] => 22
['A',8] => 15
['B',8] => 29
['C',8] => 29
['D',8] => 30
['E',8] => 52
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Description
The number of distinct dimensions of the irreducible representations of the Weyl group of a finite Cartan type.
Code
def statistic(ct):
    G = WeylGroup(ct, implementation="permutation").gap()
    id = G.Identity()
    return len(set((id^r).sage() for r in G.Irr()))
Created
Nov 29, 2021 at 10:30 by Martin Rubey
Updated
Nov 29, 2021 at 10:30 by Martin Rubey