A power Cayley-Hamilton identity for nxn matrices over a Lie nilpotent ring of index k

Jeno Szigeti, Szilvia Szilagyi, Leon van Wyk

For an nxn matrix A over a Lie nilpotent ring R of index k, we prove that an invariant "power" Cayley-Hamilton identity of degree (n^2)2^{k-2} holds. The right coefficients are not…