Action of derivations on polynomials and on Jacobian derivations

Let $\mathbb K$ be a field of characteristic zero, $A := \mathbb K[x_{1}, x_{2}]$ the polynomial ring and $W_2(\mathbb K)$ the Lie algebra of all $\mathbb K$-derivations on $A$. Every polynomial $f \in A$ defines a Jacobian derivation $D_f\in W_2(\mathbb K)$ by the rule $D_f(h)=\det J(f, h)$ for any...

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Bibliographic Details
Published in:	Researches in Mathematics
Main Authors:	O.Ya. Kozachok, A.P. Petravchuk
Format:	Article
Language:	English
Published:	Oles Honchar Dnipro National University 2024-07-01
Subjects:	lie algebra jacobian derivation centralizer normalizer annihilator
Online Access:	https://vestnmath.dnu.dp.ua/index.php/rim/article/view/420/420

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