SphericalSimpleModules on DyckPath
The simple modules with Ext^i(S, A) zero for 0 < i < the projective dimension of S; those of projective dimension at most one count.
FindStat's St001994.
Called as CombinatorialStat(x, "SphericalSimpleModules"). The head's page has its examples.
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FindStat St001994
The number of simple spherical modules of the corresponding linear Nakayama algebra.
| 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/St001994 has the rest.