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DynkinIndex on CartanType ​

The Dynkin index of the Lie algebra: the greatest common divisor of the indices of its representations.

On CartanType

Called as CombinatorialStat(x, "DynkinIndex"). The head's page has its examples.

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Distribution

Over FiniteCartanTypes at each size, tallied here in your browser; sizes past 6 are not offered.

FindStat St001156

The Dynkin index of the Lie algebra of given type.

ObjectValue
['A',1]1
['A',2]1
['A',3]1
['A',4]1
['A',5]1
['A',6]1
['A',7]1
['A',8]1

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001156 has the rest.