Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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JORDAN TYPES OF COMMUTING NILPOTENT MATRICES

  • Ozturk, Semra (Department of Mathematics Middle East Technical University)
  • Received : 2017.10.20
  • Accepted : 2018.06.01
  • Published : 2018.10.31
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Abstract

Let A and B be matrices which are polynomials in r pairwise commuting nilpotent matrices over a field. We give a sufficient condition for the null space of $A^i$ to equal that of $B^i$ for all i, in particular, for A and B to be similar.

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References

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