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Statistic identifier: St001954

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Collection: Finite Cartan types

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Description: The sum of the entries in the character table of the Weyl group of finite Cartan type.

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References: [1]   Ayyer, A., Dey, H. K., Paul, D. How large is the character degree sum compared to the character table sum for a finite group? [[arXiv:2406.06036]]

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Code:
def statistic(ct):
    W = WeylGroup(ct, implementation="permutation")
    t = W.character_table()
    return sum(sum(t))


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Statistic values:

['A',1] => 2
['A',2] => 5
['B',2] => 8
['G',2] => 10
['A',3] => 13
['B',3] => 26
['C',3] => 26
['A',4] => 31
['B',4] => 112
['C',4] => 112
['D',4] => 70
['F',4] => 200
['A',5] => 89
['B',5] => 410
['C',5] => 410
['D',5] => 205
['A',6] => 259
['B',6] => 1860
['C',6] => 1860
['D',6] => 930
['E',6] => 995
['A',7] => 842
['B',7] => 8074
['C',7] => 8074
['D',7] => 4037
['E',7] => 10734

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Created: Jul 23, 2024 at 18:20 by Hiranya Kishore Dey

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Last Updated: Jul 23, 2024 at 18:20 by Hiranya Kishore Dey