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Identifier
Values
=>
Cc0022;cc-rep
['A',1]=>2 ['A',2]=>3 ['B',2]=>2 ['G',2]=>1 ['A',3]=>4 ['B',3]=>2 ['C',3]=>2 ['A',4]=>5 ['B',4]=>2 ['C',4]=>2 ['D',4]=>4 ['F',4]=>1 ['A',5]=>6 ['B',5]=>2 ['C',5]=>2 ['D',5]=>4 ['A',6]=>7 ['B',6]=>2 ['C',6]=>2 ['D',6]=>4 ['E',6]=>3 ['A',7]=>8 ['B',7]=>2 ['C',7]=>2 ['D',7]=>4 ['E',7]=>2 ['A',8]=>9 ['B',8]=>2 ['C',8]=>2 ['D',8]=>4 ['E',8]=>1
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Description
The determinant of the Cartan matrix.
This is also the order of the center of the corresponding simply connected group.
References
[1] wikipedia:Cartan matrix#Determinants of the Cartan matrices of the simple Lie algebras
Code
def statistic(t):
    return det(CartanMatrix(t))
Created
May 23, 2017 at 15:29 by Martin Rubey
Updated
May 23, 2017 at 15:29 by Martin Rubey