3 papers
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…
math.AC2025
Jordan Type stratification of spaces of commuting nilpotent matrices
Mats Boij, Anthony Iarrobino, Leila Khatami
An nilpotent matrix is determined up to conjugacy by a partition of , its Jordan type given by the sizes of its Jordan blocks. The Jordan type $\mathfrak D…
math.AC2024
Identifying Partitions with maximum commuting orbit
Mats Boij, Anthony Iarrobino, Leila Khatami
The authors here show that the partition in the table of partitions having maximal nilpotent commutator a given stable partition , defined in [IKVZ2…