The upper bound for the index of nilpotency for a matrix commuting with a given nilpotent matrix

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dc.creatorOblak, Polona
dc.date2007-01-19
dc.date2007-12-01
dc.date.accessioned2026-07-07T08:46:15Z
dc.date.available2026-07-07T08:46:15Z
dc.descriptionWe study the set $\partition{\nb}$ of all possible Jordan canonical forms of nilpotent matrices commuting with a given nilpotent matrix $B$. We describe $\partition{\nb}$ in the special case when $B$ has only one Jordan block. In the general case, we find the maximal possible index of nilpotency in the set of all nilpotent matrices commuting with a given nilpotent matrix. We consider several examples.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math/0701561
dc.identifierhttp://arxiv.org/abs/math/0701561
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143188
dc.subjectCommutative Algebra
dc.subject15A04, 15A21, 15A27
dc.titleThe upper bound for the index of nilpotency for a matrix commuting with a given nilpotent matrix
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