Cartan matrices and presentations of Cunha and Elduque superalgebras

Sofiane Bouarroudj, Pavel Grozman, and Dimitry A. Leites

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Submission date: 09. Nov. 2006
Pages: 51
Bibtex
MSC-Numbers: 17B50, 70F25
Keywords and phrases: Cartan prolongation, Elduque superalgebra, Lie superalgebra
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Abstract:
All inequivalent Cartan matrices (in other words, inequivalent systems of simple roots) of the ten simple exceptional finite dimensional Lie superalgebras in characteristic 3, recently identified by Cunha and Elduque as constituents of Elduque's superization of the Freudenthal Magic Square, are listed together with defining relations between analogs of their Chevalley generators.