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Infinite-dimensional algebras of hidden symmetries of the self-dualYang-Mills equations are considered. A current-type algebra of symmetries andan affine extension of conformal symmetries introduced recently are discussedusing the twistor picture. It is shown that the extended conformal symmetriesof the self-dual Yang-Mills equations have a simple description in terms ofWard's twistor construction.Comment: 10 pages, LaTeX, final version (to appear in J.Math.Phys.

On infinite-dimensional algebras of symmetries of the self-dual Yang–Mills equations