Cartan matrices and presentations of Cunha and Elduque superalgebras
Representation Theory
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0611391,
title = {Cartan matrices and presentations of Cunha and Elduque superalgebras},
author = {Sofiane Bouarroudj and Pavel Grozman and Dimitry Leites},
journal= {arXiv preprint arXiv:math/0611391},
year = {2007}
}
Comments
43 pages, 10 figures, LaTeX2e