English

A direct and simple proof of Jacobi identities for determinants

General Mathematics 2007-12-13 v1 Mathematical Physics math.MP

Abstract

The Jacobi identities play an important role in constructing the explicit exact solutions of a broad class of integrable systems in soliton theory. In the paper, a direct and simple proof of the Jacobi identities for determinants is presented by employing the Plu¨\ddot{u}cker relations.

Keywords

Cite

@article{arxiv.0712.1932,
  title  = {A direct and simple proof of Jacobi identities for determinants},
  author = {Kuihua Yan},
  journal= {arXiv preprint arXiv:0712.1932},
  year   = {2007}
}

Comments

6 pages

R2 v1 2026-06-21T09:53:17.029Z