On the annihilators of rational functions in the Lie algebra of derivations of k[x, y]

O. G. Iena, A. P. Petravchuk, A. O. Regeta

Let k be an algebraically closed field of zero characteristic. The Lie algebra W_2 of all k-derivations of the polynomial ring k[x, y] naturally acts on the polynomial ring k[x, y]…