On the Lie Structure of the Skew Elements of a Prime superalgebra with Superinvolution.
We investigate the Lie structure of the Lie
superalgebra K of skew elements of a prime associative
superalgebra A with superinvolution. It is proved that if A
is not a central order in a Clifford superalgebra of
dimension at most 16 over the center, then any Lie ideal of
K or [K,K] contains [J \cap K, K] for some nonzero ideal J of
A or is contained in the even part of the center of A.
C. Gómez-Ambrosi <gomezc@posta.unizar.es>
J. Laliena <laliena@dmc.unirioja.es>
I. P. Shestakov <shestak@ime.usp.br>