COMPUTING THE Z2-COCHARACTER OF 3 x 3 MATRICES OF ODD DEGREE

Let F be a field of characteristic 0 and A=M-2,M- 1(F) the algebra of 3x3 matrices over F endowed with the only non trivial Z(2)-grading. Aver'yanov in [1] determined a set of generators for the T-2-ideal of graded identities of A. Here we study the identities in variables of homogeneous degree 1 via the representation theory of the symmetric group, and we determine the decomposition of the corresponding character into irreducibles.