An example of simple Lie superalgebra with several invariant bilinear forms
Abstract
Description
The associative superalgebra A with two-dimensional space of supertraces is presented. It is shown that (i) it is simple, (ii) its commutant [A, A} is a simple Lie superalgebra and (iii) this commutant has at least 2-dimensional space of nondegenerate bilinear invariant forms.
9 pages, Latex, few minor mistakes corrected
9 pages, Latex, few minor mistakes corrected