73 citations · 344 across the 21 of their papers we have counts for
26 papers
Degenerations of noncommutative Heisenberg algebras
Ivan Kaygorodov, Yury Volkov
We give the full description of all degenerations of complex five dimensional noncommutative Heisenberg algebras. As a corollary, we have the full description of all degenerations…
Graded Lie structure on cohomology of some exact monoidal categories
Yury Volkov, Sarah Witherspoon
For some exact monoidal categories, we describe explicitly a connection between topological and algebraic definitions of the Lie bracket on the extension algebra of the unit object…
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.