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arXiv · 1202.3369

On the maximum nilpotent orbit intersecting a centralizer in M(n,K)

Roberta Basili
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Abstract

To any pair of commuting n x n nilpotent matrices it is associated a pair of partitions of n. We describe a maximal nilpotent subalgebra of the centralizer of a given nilpotent n x n matrix and prove a conjecture of Polona Oblak which consists in an algorithm for the determination of the maximum partition which forms with a given partition a pair with the previous property.

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Roberta Basili. 2012-02-15. On the maximum nilpotent orbit intersecting a centralizer in M(n,K). https://arxiv.org/abs/1202.3369

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