Abstract
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 .
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