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arxiv: 2606.02026 · v1 · pith:OENWHYHLnew · submitted 2026-06-01 · 🧮 math.AC · math.AG· math.CO

Jordan types for pairs of commuting nilpotent matrices: A survey

classification 🧮 math.AC math.AGmath.CO
keywords jordannilpotenttypescommutingmatricespairssurveycommutator
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The aim of the paper is to survey results on Jordan types for pairs of nilpotent commuting matrices. We also review recent proof of the Box Conjecture on Jordan types that have equal dense orbit in the nilpotent commutator.

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