An example of simple Lie superalgebra with several invariant bilinear forms
classification
🧮 math-ph
hep-thmath.MP
keywords
simplesuperalgebrabilinearcommutantformsinvariantspaceassociative
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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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