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Identifier
Values
['A',1] => 1
['A',2] => 1
['B',2] => 2
['G',2] => 3
['A',3] => 1
['B',3] => 2
['C',3] => 2
['A',4] => 1
['B',4] => 2
['C',4] => 2
['D',4] => 2
['F',4] => 4
['A',5] => 1
['B',5] => 2
['C',5] => 2
['D',5] => 2
['A',6] => 1
['B',6] => 2
['C',6] => 2
['D',6] => 2
['E',6] => 3
['A',7] => 1
['B',7] => 2
['C',7] => 2
['D',7] => 2
['E',7] => 4
['A',8] => 1
['B',8] => 2
['C',8] => 2
['D',8] => 2
['E',8] => 6
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Description
The largest coefficient in the highest root in the root system of a Cartan type.
References
[1] Hopkins, S. How big can the index inside the root lattice of the lattice generated by a subset of roots be? MathOverflow:310884
Code
def statistic(C):
    return max(C.root_system().root_space().highest_root().coefficients())
Created
Mar 17, 2019 at 09:29 by Martin Rubey
Updated
Mar 17, 2019 at 09:29 by Martin Rubey