SimplesOfInjectiveAndDominantDimensionOneWithDualProperty on DyckPath
The simple modules whose injective and dominant dimensions are both one and whose projective and codominant dimensions are both one.
FindStat's St001230.
Called as CombinatorialStat(x, "SimplesOfInjectiveAndDominantDimensionOneWithDualProperty"). The head's page has its examples.
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FindStat St001230
The number of simple modules with injective dimension equal to the dominant dimension equal to one and the dual property.
| Object | Value |
|---|---|
[1,0] | 0 |
[1,0,1,0] | 1 |
[1,1,0,0] | 0 |
[1,0,1,0,1,0] | 0 |
[1,0,1,1,0,0] | 1 |
[1,1,0,0,1,0] | 1 |
[1,1,0,1,0,0] | 0 |
[1,1,1,0,0,0] | 0 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001230 has the rest.