The Relation between the Mandelstam and the Cayley-Hamilton Identities

Details The Relation between the Mandelstam and the Cayley-Hamilton Identities The Relation between the Mandelstam and the Cayley-Hamilton Identities

1993-05-27

arxiv.org/abs/hep-th/9305156v1

J.Math.Phys. 35 (1994) 1922-1930

Physics

High Energy Physics

High Energy Physics - Theory

latex file, 16 pages, preprint ICN-UNAM -93 -#17

Scientific paper

10.1063/1.530578

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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