Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-02-09
Czech.J.Phys. 51 (2001) 1-22
Physics
High Energy Physics
High Energy Physics - Theory
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.
Grozman Pavel
Leites Dimitry
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