Defining Relations for Lie Superalgebras with Cartan matrix

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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19 pages, LaTeX

Scientific paper

10.1023/A:1026642004008

We completely describe presentations of Lie superalgebras with Cartan matrix if they are simple Z-graded of polynomial growth. Such matrices can be neither integer nor symmetrizable. There are non-Serre relations encountered. In certain cases there are infinitely many relations. Our results are applicable to the Lie algebras with the same Cartan matrices as the Lie superalgebras considered.

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