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math.AC2026
Jordan types for pairs of commuting nilpotent matrices: A survey
Tomaž Košir
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 equ…
math.AC2026
Jordan types commuting with a hook partition
Leila Khatami, Tomaž Košir
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 s…