Towards classification of simple finite dimensional modular Lie superalgebras

Details Towards classification of simple finite dimensional modular Lie superalgebras Towards classification of simple finite dimensional modular Lie superalgebras

2007-10-30

arxiv.org/abs/0710.5638v1

Journal of Prime Research in Mathematics, volume 3, no.2 (2007)

Mathematics

Representation Theory

10 pages

Scientific paper

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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