The Relation between the Mandelstam and the Cayley-Hamilton Identities
High Energy Physics - Theory
2009-10-22 v1 General Relativity and Quantum Cosmology
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.
Keywords
Cite
@article{arxiv.hep-th/9305156,
title = {The Relation between the Mandelstam and the Cayley-Hamilton Identities},
author = {D. E. Berenstein and L. F. Urrutia},
journal= {arXiv preprint arXiv:hep-th/9305156},
year = {2009}
}
Comments
latex file, 16 pages, preprint ICN-UNAM -93 -#17