Trace identities for skew-symmetric matrices

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 A${}^{-1}$, or equivalently B${}^{-1}$, as a finite-order polynomial of AB with coefficients depending on the traces of powers of AB.

10 pages, published version