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Identifier
Values
=>
Cc0022;cc-rep
['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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Description
The sum of the entries in the character table of the Weyl group of finite Cartan type.
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
Code
def statistic(ct):
    W = WeylGroup(ct, implementation="permutation")
    t = W.character_table()
    return sum(sum(t))
Created
Jul 23, 2024 at 18:20 by Hiranya Kishore Dey
Updated
Jul 23, 2024 at 18:20 by Hiranya Kishore Dey