Identifying Partitions with maximum commuting orbit $Q=(u,u-r)$

Mats Boij; Anthony Iarrobino; Leila Khatami

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arXiv · 2411.18340

Identifying Partitions with maximum commuting orbit $Q=(u,u-r)$

Mats Boij·Anthony Iarrobino·Leila Khatami

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Abstract

The authors here show that the partition $P_{k,l}(Q)$ in the table $\mathcal T(Q)$ of partitions having maximal nilpotent commutator a given stable partition $Q$, defined in [IKVZ2], is identical to the analogous partition $P_{k,l}^Q$ defined by the authors in [BIK] using the Burge correspondence.

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Mats Boij, Anthony Iarrobino, Leila Khatami. 2024-11-27. Identifying Partitions with maximum commuting orbit $Q=(u,u-r)$. https://arxiv.org/abs/2411.18340

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