Minimal J-trace identities for M(n, n) and queer trace identities for M-n(E)

摘要

It is known, see [2], that the algebra M(n, n) has a J-trace and satisfies J-trace identities and the algebra M-n(E) has a queer trace and satisfies queer trace identities, and that the degree of the minimal identities is 1/2(n + 2)(n + 1) for each of them. In this paper we construct all minimal degree identities in one variable. In the case of M, (E) there is only one, up to constant multiple: qtr(x)qtr(x(2)) center dot center dot center dot qtr(x(n+1)) = 0. (C) 2018 Elsevier Inc. All rights reserved.