Lie structure in semiprime superalgebras with superinvolution
In this paper we investigate the 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 a nonzero Lie ideal connected
with J is contained in U, or A is a subdirect product of orders in
simple superalgebras, each at most 16-dimensional over its center.
J. Laliena < jesus.laliena@unirioja.es >
S. Sacristán < ssacrist@barpimo.com >