86 citations · 312 across the 23 of their papers we have counts for
23 papers
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.
Minkowski superspaces and superstrings as almost real-complex supermanifolds
Sofiane Bouarroudj, Pavel Grozman, Dimitry Leites +1
In 1996/7, J. Bernstein observed that smooth or analytic supermanifolds that mathematicians study are real or (almost) complex ones, while Minkowski superspaces are completely diff…
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…