24 citations
4 papers
Nondegenerate invariant symmetric bilinear forms on simple Lie superalgebras in characteristic 2
Andrey Krutov, Alexei Lebedev, Dimitry Leites +1
As is well-known, the dimension of the space spanned by the non-degenerate invariant symmetric bilinear forms (NISes) on any simple finite-dimensional Lie algebra or Lie superalgeb…
Restricted simple Lie (super)algebras in characteristic
Sofiane Bouarroudj, Andrey Krutov, Alexei Lebedev +2
We give explicit formulas proving restrictedness of the following Lie (super)algebras: known exceptional simple vectorial Lie (super)algebras in characteristic 3, deformed Lie (sup…
On Gradings Modulo 2 of Simple Lie Algebras in Characteristic 2
Andrey Krutov, Alexei Lebedev
The ground field in the text is of characteristic 2. The classification of modulo 2 gradings of simple Lie algebras is vital for the classification of simple finite-dimensional Lie…
Simple Vectorial Lie Algebras in Characteristic 2 and their Superizations
Sofiane Bouarroudj, Pavel Grozman, Alexei Lebedev +2
We overview the classifications of simple finite-dimensional modular Lie algebras. In characteristic 2, their list is wider than that in other characteristics; e.g., it contains de…