24 citations · 44 across the 3 of their papers we have counts for
3 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…
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…
Manin-Olshansky triples for Lie superalgebras
Dimitry Leites, Alexander Shapovalov
Following V. Drinfeld and G. Olshansky, we construct Manin triples $(\fg, \fa, \fa^*)$ such that $\fg$ is different from Drinfeld's doubles of $\fa$ for several series of Lie super…