An example of simple Lie superalgebra with several invariant bilinear forms

Details An example of simple Lie superalgebra with several invariant bilinear forms An example of simple Lie superalgebra with several invariant bilinear forms

2001-12-31

arxiv.org/abs/math-ph/0112063v3

Physics

Mathematical Physics

9 pages, Latex, few minor mistakes corrected

Scientific paper

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.

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