FirstFundamentalRepresentationDimension on CartanType

The dimension of the representation with highest weight the first fundamental weight, in Bourbaki's numbering.

On CartanType

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

Live

Distribution

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

Sizes 1 to

FindStat St000107

The dimension of the representation $V(\Lambda_1)$.

Object	Value
['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/St000107 has the rest.