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

Mats Boij; Anthony Iarrobino; Leila Khatami

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

Commutative Algebra 2024-11-28 v1 Algebraic Geometry Combinatorics Rings and Algebras

Authors: Mats Boij , Anthony Iarrobino , Leila Khatami

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.

Cite

@article{arxiv.2411.18340,
  title  = {Identifying Partitions with maximum commuting orbit $Q=(u,u-r)$},
  author = {Mats Boij and Anthony Iarrobino and Leila Khatami},
  journal= {arXiv preprint arXiv:2411.18340},
  year   = {2024}
}

Comments

15 pages, 3 figures, Overlap with arXiv 2409.13553 (this is [BIK]) section 2, Notations and Background, in order for this note to be self contained

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

Abstract

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