On the lie structure of the skew elements of a prime superalgebra with superinvolution |
| |
| Authors: | Carlos Gómez-Ambrosi Jesús Laliena Ivan P. Shestakov |
| |
| Affiliation: | 1. Department of Mathematics , University of Zaragoza , Zaragoza, 50009, Spain;2. Department of Mathematics and Computation , University of La Rioja , Logro?o, 26004, Spain;3. Soholev Institute of Mathematics , Novosibirsk, 630090, Russia |
| |
| Abstract: | ![]()
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 ∩K,K] for some nonzero ideal J of A or is contained in the even part of the center of A. |
| |
| Keywords: | 17A70 17B70 |
|
|
