K. Ya. Sysak

activity

20162023

most citedOn Lie algebras consisting of locally nilpotent derivations

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

collaborators

3 papers

math.RA2023

On maximality of some solvable and locally nilpotent subalgebras of the Lie algebra $W_{n} (K)$

D. Efimov, M. Sydorov, K. Sysak

Let $K$ be an algebraically closed field of characteristic zero, $P_{n} = K [x_{1}, ..., x_{n}]$ the polynomial ring, and $W_{n} (K)$ the Lie algebra of all $K$ -derivations on $P_{n}$ . One of th…

math.RA2017★ 1 cited

On Lie algebras associated with modules over polynomial rings

A. P. Petravchuk, K. Ya. Sysak

Let $K$ be an algebraically closed field of characteristic zero. Let $V$ be a module over the polynomial ring $K [x, y]$ . The actions of $x$ and $y$ determine linear…

math.RA2016★ 2 cited

On Lie algebras consisting of locally nilpotent derivations

A. P. Petravchuk, K. Ya. Sysak

Let $K$ be an algebraically closed field of characteristic zero and $A$ an integral $K$ -domain. The Lie algebra $D e r_{K} (A)$ of all $K$ -derivations of $A$ contains the set $L N D (A)$ …

On maximality of some solvable and locally nilpotent subalgebras of the Lie algebra Wn​(K)

On Lie algebras associated with modules over polynomial rings

On Lie algebras consisting of locally nilpotent derivations

On maximality of some solvable and locally nilpotent subalgebras of the Lie algebra $W_{n} (K)$