An example of simple Lie superalgebra with several invariant bilinear forms
Mathematical Physics
2007-05-23 v3 High Energy Physics - Theory
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/0112063,
title = {An example of simple Lie superalgebra with several invariant bilinear forms},
author = {S. E. Konstein},
journal= {arXiv preprint arXiv:math-ph/0112063},
year = {2007}
}
Comments
9 pages, Latex, few minor mistakes corrected