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arxiv: 0712.1932 · v1 · submitted 2007-12-12 · 🧮 math.GM · math-ph· math.MP

A direct and simple proof of Jacobi identities for determinants

classification 🧮 math.GM math-phmath.MP
keywords identitiesjacobideterminantsdirectproofsimplebroadcker
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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 Pl$\ddot{u}$cker relations.

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