Cartan matrices and presentations of Cunha and Elduque superalgebras

Details Cartan matrices and presentations of Cunha and Elduque superalgebras Cartan matrices and presentations of Cunha and Elduque superalgebras

2006-11-13

arxiv.org/abs/math/0611391v1

Mathematics

Representation Theory

43 pages, 10 figures, LaTeX2e

Scientific paper

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.

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