Finite dimensional modular Lie superalgebras over algebraically closed fields with
indecomposable Cartan matrices are classified under some technical, most probably …

We review the list of non-degenerate invariant (super) symmetric bilinear forms (briefly: NIS)
on the following simple (relatives of) Lie (super) algebras:(a) with symmetrizable Cartan …

All results concern characteristic 2. We describe two procedures; each of which to every
simple Lie algebra assigns a simple Lie superalgebra. We prove that every simple finite …

For modular Lie superalgebras, new notions are introduced: Divided power homology and
divided power cohomology. For illustration, we explicitly give presentations (in terms of …

We overview the classifications of simple finite-dimensional modular Lie algebras. In
characteristic 2, their list is wider than that in other characteristics; eg, it contains …

Lately, the following were observed:(1) an upsurge of interest (in particular, triggered by a
paper by Atiyah and Witten) to manifolds with G (2)-type structure;(2) classifications are …

Of four types of Kaplansky algebras, type-2 and type-4 algebras have previously
unobserved $\mathbb {Z}/2$-gradings: nonlinear in roots. A method assigning a simple Lie …

Abstract A double extension (D D-extension) of a Lie (super) algebra aa with a non-
degenerate invariant symmetric bilinear form BB, briefly, a NIS-(super) algebra, is an …

Using tensor categories, we present new constructions of several of the exceptional simple
Lie superalgebras with integer Cartan matrix in characteristic p= 3 and p= 5 from the …

A way to construct (conjecturally all) simple finite dimensional modular Lie (super) algebras
over algebraically closed fields of characteristic not 2 is offered. In characteristic 2, the …