Generators of supersymmetric polynomials in positive characteristic

In Kantor and Trishin (1997) [3], Kantor and Trishin described the algebra of polynomial invariants of the adjoint representation of the Lie superalgebra gl(m|n) and a related algebra A_s of what they called pseudosymmetric polynomials over an algebraically closed field K of characteristic zero. The algebra A_s was investigated earlier by Stembridge (1985) who in [9] called the elements of A_s supersymmetric polynomials and determined generators of A_s.The case of positive characteristic p of the ground field K has been recently investigated by La Scala and Zubkov (in press) in [6]. We extend their work and give a complete description of generators of polynomial invariants of the adjoint action of the general linear supergroup GL(m|n) and generators of A_s.