Mathematics – Representation Theory
Scientific paper
2012-02-15
Mathematics
Representation Theory
Scientific paper
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 about
the maximum partition which forms with a given partition a pair with the
previous property.
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