Graded Polynomial Identities for Matrices with the Transpose Involution over an Infinite Field

Luís Felipe Gonçalves Fonseca, Thiago Castilho de Mello

Let $F$ be an infinite field, and let $M_n(F)$ be the algebra of $n\times n$ matrices over $F$. Suppose that this algebra is equipped with an elementary grading whose neutral com…