paper

Minors of a skew symmetric matrix: A combinatorial approach

arXiv:2007.15118

Abstract

We use Knuth's combinatorial approach to Pfaffians to reprove and clarify a century-old formula, due to Brill. It expresses arbitrary minors of a skew symmetric matrix in terms of Pfaffians.

arXiv commentFinal version, to appear in Electron. J. Linear Algebra; 6 pp