AtomicLengthOfLongestElement on CartanType
The atomic length of the longest element of the Weyl group: the sum of the heights of the positive roots.
Called as CombinatorialStat(x, "AtomicLengthOfLongestElement"). The head's page has its examples.
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FindStat St001849
The atomic length of the longest element.
| Object | Value |
|---|---|
['A',1] | 1 |
['A',2] | 4 |
['A',3] | 10 |
['A',4] | 20 |
['A',5] | 35 |
['A',6] | 56 |
['A',7] | 84 |
['A',8] | 120 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001849 has the rest.