MinusculeWeightCount on CartanType
The minuscule dominant weights: the simple roots that appear once in the highest root.
Called as CombinatorialStat(x, "MinusculeWeightCount"). 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.
FindStat St001147
The number of minuscule dominant weights in the weight lattice of a finite Cartan type.
| Object | Value |
|---|---|
['A',1] | 1 |
['A',2] | 2 |
['A',3] | 3 |
['A',4] | 4 |
['A',5] | 5 |
['A',6] | 6 |
['A',7] | 7 |
['A',8] | 8 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001147 has the rest.