Lie structure in semiprime superalgebras with superinvolution

Abstract: In this paper we investigate the Lie structure of the Lie superalgebra K of skew elements of a semiprime associative superalgebra A with superinvolution. We show that if U is a Lie ideal of K, then either there exists an ideal J of A such that the Lie ideal is nonzero and contained in U, or A is a subdirect sum of , , where the image of U in is central, and is a subdirect product of orders in simple superalgebras, each at most 16-dimensional over its center. [Copyright &y& Elsevier]