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Towards classification of simple finite dimensional modular Lie superalgebras
Dimitry A. LeitesAbstract
A conjectural way to construct all simple finite dimensional modular Lie (super)algebras over algebraically closed fields is offered (in characteristic 2, all graded by integers Lie (super)algebras are expected to be obtained in this way and only part 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.
- Received:
- 14.11.06
- Published:
- 14.11.06
- MSC Codes:
- 17B50, 70F25
- Keywords:
- Cartan prolongation, Kostrikin-Shafarevich conjecture, modular Lie algebra, Lie superalgebra