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math.AC2007
On pairs of commuting nilpotent matrices
Tomaž Košir, Polona Oblak
Let be a nilpotent matrix and suppose that its Jordan canonical form is determined by a partition . Then it is known that its nilpotent commutator is an irreducible va…
math.AC2007
The upper bound for the index of nilpotency for a matrix commuting with a given nilpotent matrix
Polona Oblak
We study the set $\partition{\nb}$ of all possible Jordan canonical forms of nilpotent matrices commuting with a given nilpotent matrix . We describe $\partition{\nb}$ in the sp…