SimplesOfProjectiveDimensionAtMostThree on DyckPath
The simple modules of projective dimension at most three.
Called as CombinatorialStat(x, "SimplesOfProjectiveDimensionAtMostThree"). The head's page has its examples.
Live
Distribution
Over DyckPaths at each size, tallied here in your browser; sizes past 10 are not offered.
FindStat St001023
The number of simple modules with projective dimension at most three in the linear Nakayama algebra corresponding to a Dyck path.
| Object | Value |
|---|---|
[1,0] | 2 |
[1,0,1,0] | 3 |
[1,1,0,0] | 3 |
[1,0,1,0,1,0] | 4 |
[1,0,1,1,0,0] | 4 |
[1,1,0,0,1,0] | 4 |
[1,1,0,1,0,0] | 4 |
[1,1,1,0,0,0] | 4 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001023 has the rest.