59 citations · 318 across the 39 of their papers we have counts for
4 papers · 2 filters
Non-semigroup gradings of associative algebras
Pasha Zusmanovich
It is known that there are Lie algebras with non-semigroup gradings, i.e. such that the binary operation on the grading set is not associative. We provide a similar example in the…
Lie algebras and around: selected questions
Pasha Zusmanovich
Several open questions are discussed. The topics include cohomology of current and related Lie algebras, algebras represented as the sum of subalgebras, structures and phenomena pe…
Special and exceptional mock-Lie algebras
Pasha Zusmanovich
We observe several facts and make conjectures about commutative algebras satisfying the Jacobi identity. The central question is which of those algebras admit a faithful representa…
On Lie -algebras of cohomological dimension one
Pasha Zusmanovich
We prove that a Lie -algebra of cohomological dimension one is one-dimensional, and discuss related questions.