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CartanMatrixDeterminant on CartanType ​

The determinant of the Cartan matrix, the order of the center of the simply connected group.

On CartanType

Called as CombinatorialStat(x, "CartanMatrixDeterminant"). 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 St000821

The determinant of the Cartan matrix.

ObjectValue
['A',1]2
['A',2]3
['A',3]4
['A',4]5
['A',5]6
['A',6]7
['A',7]8
['A',8]9

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000821 has the rest.