English

Some new simple modular Lie superalgebras

Rings and Algebras 2007-05-23 v1 Representation Theory

Abstract

Two new simple modular Lie superalgebras are obtained in characteristics 3 and 5, which share the property that their even parts are orthogonal Lie algebras and the odd parts their spin modules. The characteristic 5 case is shown to be related, by means of a construction of Tits, to the exceptional ten dimensional Jordan superalgebra of Kac.

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Cite

@article{arxiv.math/0512654,
  title  = {Some new simple modular Lie superalgebras},
  author = {Alberto Elduque},
  journal= {arXiv preprint arXiv:math/0512654},
  year   = {2007}
}

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21 pages