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arxiv: math/0612300 · v1 · submitted 2006-12-12 · 🧮 math.AC

Jordan forms for mutually annihilating nilpotent pairs

classification 🧮 math.AC
keywords pairsnilpotentannihilatingformsjordanmutuallycanonicalcharacterize
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In this paper we completely characterize all possible pairs of Jordan canonical forms for mutually annihilating nilpotent pairs, i.e. pairs $(A,B)$ of nilpotent matrices such that $AB=BA=0$.

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