Minors of a skew symmetric matrix: A combinatorial approach
Combinatorics
2020-07-31 v1 Rings and Algebras
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.
Cite
@article{arxiv.2007.15118,
title = {Minors of a skew symmetric matrix: A combinatorial approach},
author = {Lars Winther Christensen and Oana Veliche and Jerzy Weyman},
journal= {arXiv preprint arXiv:2007.15118},
year = {2020}
}
Comments
Final version, to appear in Electron. J. Linear Algebra; 6 pp