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Povzetek: In this paper we characterize all nilpotent orbits under the action by conjugation that intersect the nilpotent centralizer of a nilpotent matrix $B$ consisting of two Jordan blocks of the same size. We list all the possible Jordan canonical forms of the nilpotent matrices that commute with $B$ by characterizing the corresponding partitions.
Ključne besede: nilpotent matrix, centralizer, nilpotent orbit
Objavljeno v DiRROS: 26.03.2024; Ogledov: 100; Prenosov: 52
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