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Towards classification of simple finite dimensional modular Lie superalgebras

Representation Theory 2007-10-31 v1

Abstract

A way to construct (conjecturally all) simple finite dimensional modular Lie (super)algebras over algebraically closed fields of characteristic not 2 is offered. In characteristic 2, the method is supposed to give only simple Lie (super)algebras graded by integers and only some of the non-graded ones). The conjecture is backed up with the latest results computationally most difficult of which are obtained with the help of Grozman's software package SuperLie.

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Cite

@article{arxiv.0710.5638,
  title  = {Towards classification of simple finite dimensional modular Lie superalgebras},
  author = {Dimitry Leites},
  journal= {arXiv preprint arXiv:0710.5638},
  year   = {2007}
}

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10 pages