86 citations · 478 across the 67 of their papers we have counts for
4 papers · 2 filters
Shapovalov determinant for loop superalgebras
Alexei Lebedev, Dimitry Leites
Let a given finite dimensional simple Lie superalgebra g possess an even invariant non-degenerate supersymmetric bilinear form. We show how to recover the quadratic Casimir element…
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…
Lie algebra deformations in characteristic 2
Sofiane Bouarroudj, Alexei Lebedev, Dimitry Leites +1
Of four types of Kaplansky algebras, type-2 and type-4 algebras have previously unobserved -gradings: nonlinear in roots. A method assigning a simple Lie superalgebra…