73 citations · 344 across the 21 of their papers we have counts for
6 papers · 1 filter
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 .
Faithful actions of braid groups by twists along ADE-configurations of spherical objects
Anya Nordskova, Yury Volkov
We prove that the action of a generalized braid group on an enhanced triangulated categories, generated by spherical twist functors along an ADE-configuration of -spherical obje…
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.
Degenerations of nilpotent algebras
Amir Fernández Ouaridi, Ivan Kaygorodov, Mykola Khrypchenko +1
We give a complete description of degenerations of -dimensional nilpotent algebras, -dimensional nilpotent commutative algebras and -dimensional nilpotent anticommutative…
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…