SymplecticDimensionRankThree on IntegerPartition
The dimension of the irreducible representation of Sp(6) with this highest weight; 0 if the partition has more than 3 parts.
Called as CombinatorialStat(x, "SymplecticDimensionRankThree"). The head's page has its examples.
Live
Distribution
Over IntegerPartitions at each size, tallied here in your browser; sizes past 30 are not offered.
FindStat St000716
The dimension of the irreducible representation of Sp(6) labelled by an integer partition.
| Object | Value |
|---|---|
[2] | 21 |
[3] | 56 |
[4] | 126 |
[5] | 252 |
[6] | 462 |
[7] | 792 |
[8] | 1287 |
[9] | 2002 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000716 has the rest.