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 …

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 …

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 …

Let F be an algebraically closed field of prime characteristic p> 2, and let g= ̄ S (m, n,\bf 1)
be the extended special type Lie superalgebra over F. Simple restricted g-modules are …

Over algebraically closed fields of characteristic p> 2,—prolongations of simple finite
dimensional Lie algebras and Lie superalgebras with Cartan matrix are studied for certain …

Over algebraically closed fields of positive characteristic, we list the outer derivations and
non-trivial central extensions of simple finite dimensional Lie algebras and Lie …

Over $\mathbb {C} $, the only non-integrable distributions with infinite-dimensional Lie
algebra of symmetries are the contact one and the Engel one. From the classification of …

Several improvements of the Kostrikin–Shafarevich method conjecturally producing all
simple finite-dimensional Lie algebras over algebraically closed fields of any positive …