CompositionNakayamaGlobalDimension on IntegerComposition
The global dimension of the linear Nakayama algebra whose Kupisch series is c_1 + 1, ..., 2, c_2 + 1, ..., 2, ..., 1.
FindStat's St001235 (its Comp-Nakayama algebra): the largest projective dimension of a simple module.
Called as CombinatorialStat(x, "CompositionNakayamaGlobalDimension"). The head's page has its examples.
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FindStat St001235
The global dimension of the corresponding Comp-Nakayama algebra.
| Object | Value |
|---|---|
[1] | 1 |
[2] | 1 |
[3] | 1 |
[4] | 1 |
[5] | 1 |
[6] | 1 |
[1,1] | 2 |
[1,2] | 2 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001235 has the rest.