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• W3100631778 abstract "It is well known that a nilpotent n×n matrix B is determined up to conjugacy by a partition of n formed by the sizes of the Jordan blocks of B. We call this partition the Jordan type of B. We obtain partial results on the following problem: for any partition P of n describe the type Q(P) of a generic nilpotent matrix commuting with a given nilpotent matrix of type P. A conjectural description for Q(P) was given by P. Oblak and restated by L. Khatami. In this paper we prove “half” of this conjecture by showing that this conjectural type is less than or equal to Q(P) in the dominance order on partitions." @default.
• W3100631778 created "2020-11-23" @default.
• W3100631778 creator A5038142466 @default.
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• W3100631778 date "2013-03-01" @default.
• W3100631778 modified "2023-09-24" @default.
• W3100631778 title "Bound on the Jordan type of a generic nilpotent matrix commuting with a given matrix" @default.
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• W3100631778 doi "https://doi.org/10.1007/s10801-013-0433-1" @default.
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