English

Trace identities for skew-symmetric matrices

Mathematical Physics 2016-07-14 v2 math.MP

Abstract

We derive an expression for the product of the Pfaffians of two skew-symmetric matrices A and B as a sum of products of the traces of powers of AB and an expression for the inverse matrix A1^{-1}, or equivalently B1^{-1}, as a finite-order polynomial of AB with coefficients depending on the traces of powers of AB.

Cite

@article{arxiv.1605.00447,
  title  = {Trace identities for skew-symmetric matrices},
  author = {M. I. Krivoruchenko},
  journal= {arXiv preprint arXiv:1605.00447},
  year   = {2016}
}

Comments

10 pages, published version

R2 v1 2026-06-22T13:46:28.388Z