The partition P_{k,l}(Q) in the IKVZ2 table equals the Burge-code partition P^Q_{k,l} for every two-part stable partition Q=(u,u-r).
Basili, On the irreducibility of commuting varieties of nilpotent matrices, J
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Identifying Partitions with maximum commuting orbit $Q=(u,u-r)$
The partition P_{k,l}(Q) in the IKVZ2 table equals the Burge-code partition P^Q_{k,l} for every two-part stable partition Q=(u,u-r).