59 citations · 318 across the 39 of their papers we have counts for
5 papers · 1 filter
A -first Whitehead Lemma
Arezoo Zohrabi, Pasha Zusmanovich
We prove that -derivations of a simple finite-dimensional Lie algebra over a field of characteristic zero, with values in a finite-dimensional module, are either inner derivatio…
On regular Lie algebras
Pasha Zusmanovich
We study so called regular Lie algebras, i.e. Lie algebras in which each nonzero element is regular. We make a connection with an open problem whether any element of reduced trace…
On contact brackets on the tensor product
Pasha Zusmanovich
We study the behavior of contact brackets on the tensor product of two algebras, in particular, address the question of Martínez and Zelmanov about extension of a contact bracket o…
On the utility of Robinson-Amitsur ultrafilters. III
Pasha Zusmanovich
We give a new proof of a version of the main theorem of the previous paper in the series about embedding of an algebraic system into ultraproducts.
When Hom-Lie structures form a Jordan algebra
Pasha Zusmanovich
We are concerned with the question when Hom-Lie structures on a Lie algebra are closed with respect to the Jordan product. Somewhat unexpectedly, this leads us to certain questions…