Module structure of the Lie algebra $W_n(K)$ over $s{l}_n(K)$

Y. Chapovskyi, A. Petravchuk

Let $\mathbb{K}$ be an algebraically closed field of characteristic zero, $A=\mathbb{K}[x_1,\dots ,x_n]$ the polynomial ring, and let $W_n(\mathbb{K})$ denote the Lie algebra of all…