5 citations · 8 across the 13 of their papers we have counts for
15 papers
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…
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…
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…
Commuting Jordan Types: a Survey
Leila Khatami
In this paper, we survey the progress in the problem of finding the maximum commuting nilpotent orbit that intersects the centralizer of a given nilpotent matrix.
Number of generators of ideals in Jordan cells of the family of graded Artinian algebras of height two
Nasrin Altafi, Anthony Iarrobino, Leila Khatami +1
We let be a standard graded Artinian algebra quotient of , the polynomial ring in two variables over a field by an ideal , and let be its v…
Complete intersection Jordan types in height two
Nasrin Altafi, Anthony Iarrobino, Leila Khatami
We determine every Jordan type partition that occurs as the Jordan block decomposition for the multiplication map by a linear form in a height two homogeneous complete intersection…