Y. Volkov

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20172019

most citedDegenerations of Filippov algebras

12 citations · 13 across the 3 of their papers we have counts for

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math.RA2019★ 12 cited

Degenerations of Filippov algebras

Ivan Kaygorodov, Yury Volkov

We consider the variety of Filippov ( $n$ -Lie) algebra structures on an $(n + 1)$ -dimensional vector space. The group $G L_{n} (K)$ acts on it, and we study the orbit closures with respec…

math.RA2019

$n$ -ary algebras of the first level

Yury Volkov

$n$ -ary algebras of the first degeneration level are described. A detailed classification is given in the cases $n = 2, 3$ .

math.RA2019

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.

math.RA2018

Degenerations of Leibniz and anticommutative algebras

Nurlan Ismailov, Ivan Kaygorodov, Yury Volkov

We describe all degenerations of three dimensional anticommutative algebras $Acom_{3}$ and of three dimensional Leibniz algebras $Leib_{3}$ over $C .$ In…

Degenerations of Filippov algebras

n-ary algebras of the first level

Anticommutative Engel algebras of the first five levels

Degenerations of Leibniz and anticommutative algebras

$n$ -ary algebras of the first level