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arXiv · hep-th/9305156

The Relation between the Mandelstam and the Cayley-Hamilton Identities

D. E. Berenstein·L. F. Urrutia
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Abstract

Starting from the characteristic polynomial for ordinary matrices we give a combinatorial deduction of the Mandelstam identities and viceversa, thus showing that the two sets of relations are equivalent. We are able to extend this construction to supermatrices in such a way that we obtain the Mandelstam identities in this case, once the corresponding characteristic equation is known.

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D. E. Berenstein, L. F. Urrutia. 1993-05-27. The Relation between the Mandelstam and the Cayley-Hamilton Identities. https://doi.org/10.1063/1.530578

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