We study δ-derivations–a construction simultaneously generalizing derivations and centroid.
First, we compute δ-derivations of current Lie algebras and of modular Zassenhaus algebra …

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 …

Classification of simple algebras in the Deligne category Rep(St) - ScienceDirect Skip to main
contentSkip to article Elsevier logo Journals & Books Search RegisterSign in View PDF …

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 …

As is well-known, the dimension of the space spanned by the non-degenerate invariant
symmetric bilinear forms (NISes) on any simple finite-dimensional Lie algebra or Lie …

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 …

The ground field in the text is of characteristic 2. The classification of modulo 2 gradings of
simple Lie algebras is vital for the classification of simple finite-dimensional Lie …

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 …