On maximality of some solvable and locally nilpotent subalgebras of the Lie algebra $W_n(K)$

Let $K$ be an algebraically closed field of characteristic zero, $P_n=K[x_1,\ldots ,x_n]$ the polynomial ring, and $W_n(K)$ the Lie algebra of all $K$-derivations on $P_n$. One of the most important subalgebras of $W_n(K)$ is the triangular subalgebra $u_n(K) = P_0\partial_1+\cdots+P_{n-1}\par...

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Bibliographic Details
Main Authors: D.I. Efimov, M.S. Sydorov, K.Ya. Sysak
Format: Article
Language:English
Published: Oles Honchar Dnipro National University 2023-12-01
Series:Researches in Mathematics
Subjects:
Online Access:https://vestnmath.dnu.dp.ua/index.php/rim/article/view/407/407