Trace identities for skew-symmetric matrices

preprint2016arXivOpen access

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

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