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On the Cayley-Hamilton Theorem for Supermatrices

Mathematical Physics 2010-03-22 v2 High Energy Physics - Theory math.MP

Abstract

We present a conjecture for expressing the coefficients in the Cayley-Hamilton theorem for supermatrices in terms of supertraces. The conjecture is tested for several supermatrix dimensions and unique results are obtained. Generating functions for determining these coefficients are also given.

Keywords

Cite

@article{arxiv.1003.2667,
  title  = {On the Cayley-Hamilton Theorem for Supermatrices},
  author = {Sotirios Bonanos and Kiyoshi Kamimura},
  journal= {arXiv preprint arXiv:1003.2667},
  year   = {2010}
}

Comments

9 pages, References and comments added

R2 v1 2026-06-21T14:57:27.197Z