59 citations
- AGH University of KrakowPL17 papers
- Czech Academy of Sciences, Nuclear Physics InstituteCZ11 papers
- Czech Academy of SciencesCZ9 papers
- Czech Technical University in PragueCZ9 papers
- University of the WitwatersrandZA9 papers
- Ghent UniversityBE7 papers
- Max Planck Institute for MathematicsDE7 papers
- Palacký University OlomoucCZ6 papers
- Jagiellonian UniversityPL5 papers
- La Trobe UniversityAU5 papers
- Shantou UniversityCN5 papers
- FZU ‒ Institute of Physics of the Academy of Sciences of the Czech RepublicCZ4 papers
16 papers · 1 filter
A -first Whitehead Lemma for Jordan algebras
Arezoo Zohrabi, Pasha Zusmanovich
We compute -derivations of simple Jordan algebras with values in irreducible bimodules. They turn out to be either ordinary derivations (), or scalar multiples of the iden…
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…