Y. Chapovskyi

activity

20232025

collaborators

3 papers

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…

math.AC2023

Centralizers of linear and locally nilpotent derivations

L. Bedratyuk, Y. Chapovskyi, A. Petravchuk

Let $K$ be an algebraically closed field of characteristic zero, $A = K [x_{1}, \dots, x_{n}]$ the polynomial ring, $R = K (x_{1}, \dots, x_{n})$ the field of rational functions, and let $W_n(K)…

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

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

Centralizers of linear and locally nilpotent derivations

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

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