AdjointRepresentationDimension on CartanType
The dimension of the adjoint representation of the Lie algebra: n plus twice the number of positive roots.
Called as CombinatorialStat(x, "AdjointRepresentationDimension"). The head's page has its examples.
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FindStat St001148
The dimension of the adjoint representation of the Lie group of given type.
| Object | Value |
|---|---|
['A',1] | 3 |
['A',2] | 8 |
['A',3] | 15 |
['A',4] | 24 |
['A',5] | 35 |
['A',6] | 48 |
['A',7] | 63 |
['A',8] | 80 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001148 has the rest.