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math.RA2022
Bracket width of the Lie algebra of vector fields on a smooth affine curve
Ievgen Makedonskyi, Andriy Regeta
We prove that the bracket width of the simple Lie algebra of vector fields of a smooth irreducible affine curve with a trivial tangent sheaf is at most three. In…
math.RA2009
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]…