Jordan types commuting with a hook partition
Commutative Algebra
2026-05-28 v1 Algebraic Geometry
Combinatorics
Abstract
We give a complete classification of the Jordan types occurring in the nilpotent commutator of a nilpotent matrix whose Jordan type is a hook partition. As a consequence, we also show that two partitions with the same generic commuting Jordan type need not commute with each other.
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Cite
@article{arxiv.2605.27692,
title = {Jordan types commuting with a hook partition},
author = {Leila Khatami and Tomaž Košir},
journal= {arXiv preprint arXiv:2605.27692},
year = {2026}
}
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12 pages