RadicalSelfExtensionDimension on DyckPath
The dimension of the first extensions of the Jacobson radical by itself.
FindStat's St001225.
Called as CombinatorialStat(x, "RadicalSelfExtensionDimension"). The head's page has its examples.
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FindStat St001225
The vector space dimension of the first extension group between J and itself when J is the Jacobson radical of the corresponding Nakayama algebra.
| Object | Value |
|---|---|
[1,0] | 0 |
[1,0,1,0] | 1 |
[1,1,0,0] | 0 |
[1,0,1,0,1,0] | 2 |
[1,0,1,1,0,0] | 1 |
[1,1,0,0,1,0] | 1 |
[1,1,0,1,0,0] | 2 |
[1,1,1,0,0,0] | 0 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001225 has the rest.