A.Petravchuk

activity

20242026

collaborators

3 papers

math.RA2026

Maximal subalgebras of the Lie algebra $W_{n} (K)$

Y. Chapovskyi, A. Petravchuk, O. Tyshchenko

Let $K$ be an algebraically closed field of characteristic zero, $A = K [x_{1}, \dots, x_{n}]$ the polynomial ring in $n$ variables, and let $W_{n} (K)$ be the Lie algebra of all $K$ -deriva…

math.RA2025

Module structure of the Lie algebra $W_{n} (K)$ over $s l_{n} (K)$

Y. Chapovskyi, A. Petravchuk

Let $K$ be an algebraically closed field of characteristic zero, $A = K [x_{1}, \dots, x_{n}]$ the polynomial ring, and let $W_{n} (K)$ denote the Lie algebra of all…

math.GR2024

Decomposition of matrices from $S L_{2} (K [x, y])$

Y. Chapovskyi, O. Kozachok, A. Petravchuk

Let $K$ be an algebraically closed field of characteristic zero and $K [x, y]$ the polynomial ring. The group $SL_{2} (K [x, y])$ of all mat…

Maximal subalgebras of the Lie algebra Wn​(K)

Module structure of the Lie algebra Wn​(K) over sln​(K)

Decomposition of matrices from SL2​(K[x,y])

Maximal subalgebras of the Lie algebra $W_{n} (K)$

Module structure of the Lie algebra $W_{n} (K)$ over $s l_{n} (K)$

Decomposition of matrices from $S L_{2} (K [x, y])$