NEW CENTRAL POLYNOMIALS FOR THE MATRIX ALGEBRA

For n greater than or equal to 3 we find a central polynomial of degre e (n - 1)(2) + 4 for the n x n matrix algebra over a field of characte ristic O. For n = 3, 4 our polynomial coincides with the known central polynomials of minimal degree and for n > 4 the result gives new cent ral polynomials. Until now, for n > 4 the minimal degree of the known central polynomials was n(2).