On the maximum nilpotent orbit intersecting a centralizer in M(n,K)
Representation Theory
2014-02-11 v5
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.
Keywords
Cite
@article{arxiv.1202.3369,
title = {On the maximum nilpotent orbit intersecting a centralizer in M(n,K)},
author = {Roberta Basili},
journal= {arXiv preprint arXiv:1202.3369},
year = {2014}
}