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Identifier
Values
=>
Cc0022;cc-rep
['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