86 citations · 312 across the 23 of their papers we have counts for
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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…
Simple prolongs of the non-positive parts of graded Lie algebras with Cartan matrix in characteristic 2
Sofiane Bouarroudj, Pavel Grozman, Alexei Lebedev +2
Over an algebraically closed fields, an alternative to the method due to Kostrikin and Shafarevich was recently suggested. It produces all known simple finite dimensional Lie algeb…
Derivations and Central Extensions of Symmetric Modular Lie Algebras and Superalgebras
Sofiane Bouarroudj, Pavel Grozman, Alexei Lebedev +1
Over algebraically closed fields of positive characteristic, for simple Lie (super)algebras, and certain Lie (super)algebras close to simple ones, with symmetric root systems (such…
Defining relations of almost affine (hyperbolic) superalgebras
Sofiane Bouarroudj, Pavel Grozman, Dimitry Leites
For all almost affine (hyperbolic) Lie superalgebras, the defining relations are computed in terms of their Chevalley generators.
Divided power (co)homology. Presentations of simple finite dimensional modular Lie superalgebras with Cartan matrix
Sofiane Bouarroudj, Pavel Grozman, Alexei Lebedev +1
For modular Lie superalgebras, new notions are introduced: Divided power homology and divided power cohomology. For illustration, we give presentations (in terms of analogs of Chev…
Deformations of Symmetric Simple Modular Lie (Super)Algebras
Sofiane Bouarroudj, Pavel Grozman, Dimitry Leites
We say that a Lie (super)algebra is ''symmetric'' if with every root (with respect to the maximal torus) it has the opposite root of the same multiplicity. Over algebraically close…