An extended Freudenthal Magic Square in characteristic 3
Rings and Algebras
2007-05-23 v1 Representation Theory
Abstract
Freudenthal's Magic Square, which in characteristic 0 contains the exceptional Lie algebras other than G2, is extended over fields of characteristic 3, through the use of symmetric composition superalgebras, to a larger square that contains both Lie algebras and superalgebras. With one exception, the simple Lie superalgebras that appear have no counterpart in characteristic 0.
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Cite
@article{arxiv.math/0605379,
title = {An extended Freudenthal Magic Square in characteristic 3},
author = {Isabel Cunha and Alberto Elduque},
journal= {arXiv preprint arXiv:math/0605379},
year = {2007}
}
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37 pages