Quasi-Pfaffians and applications
Mathematical Physics
2025-11-26 v1 math.MP
Abstract
This paper presents a non-commutative generalization of the Pfaffian which we call a quasi-Pfaffian. This novel concept arises from solving linear systems with non-commutative skew-symmetric coefficients. A new non-commutative integrable system whose solutions are expressed in terms of these quasi-Pfaffians is presented. Derivative formulae and identities satisfied by these quasi-Pfaffians are presented.
Keywords
Cite
@article{arxiv.2511.19857,
title = {Quasi-Pfaffians and applications},
author = {Claire Gilson and Shi-Hao Li and Guo-Fu Yu},
journal= {arXiv preprint arXiv:2511.19857},
year = {2025}
}
Comments
26 pages. Comments are welcome