12 citations · 13 across the 3 of their papers we have counts for
7 papers
Degenerations of Filippov algebras
Ivan Kaygorodov, Yury Volkov
We consider the variety of Filippov (-Lie) algebra structures on an -dimensional vector space. The group acts on it, and we study the orbit closures with respec…
-ary algebras of the first level
Yury Volkov
-ary algebras of the first degeneration level are described. A detailed classification is given in the cases .
Anticommutative Engel algebras of the first five levels
Yury Volkov
Anticommutative Engel algebras of the first five degeneration levels are classified. All algebras appearing in this classification are nilpotent Malcev algebras.
Groups generated by two twists along spherical sequences
Yury Volkov
We describe all groups that can be generated by two twists along spherical sequences in an enhanced triangulated category. It will be shown that with one exception such a group is…
Homogeneous triples for homogeneous algebras with two relations
Eduardo do Nascimento Marcos, Yury Volkov
In our preceding paper we have introduced the notion of an -homogeneous triple. In this paper we use this technique to study connected -homogeneous algebras with two relation…
On the derived category of quasi-hereditary algebras with two simple modules
Yury Volkov
We describe the derived Picard groups and two-term silting complexes for quasi-hereditary algebras with two simple modules. We also describe by quivers with relations all algebras…