A CENTRAL POLYNOMIAL OF LOW DEGREE FOR 4X4 MATRICES

[摘要] We have found a central polynomial of degree 13 for the 4 x 4 matrix algebra over a field of characteristic 0. This result agrees with the conjecture that the minimal degree of such polynomials for n x n matrices is (n2 + 3n - 2)/2. The polynomial has been obtained by explicitly exhibiting an essentially weak polynomial identity of degree 9 for 4 x 4 matrices. (C) 1994 Academic Press. Inc.

[发布日期] 1994-09-01