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Cartan matrices and presentations of Cunha and Elduque superalgebras
Sofiane Bouarroudj, Pavel Grozman and Dimitry A. LeitesAbstract
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.
- Received:
- 09.11.06
- Published:
- 09.11.06
- MSC Codes:
- 17B50, 70F25
- Keywords:
- Cartan prolongation, Elduque superalgebra, Lie superalgebra