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Jordan forms for mutually annihilating nilpotent pairs

Commutative Algebra 2007-05-23 v1

Abstract

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

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Cite

@article{arxiv.math/0612300,
  title  = {Jordan forms for mutually annihilating nilpotent pairs},
  author = {Polona Oblak},
  journal= {arXiv preprint arXiv:math/0612300},
  year   = {2007}
}

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13 pages