Local homomorphisms of modular Lie algebras of Cartan type (in Ukrainian)

Let $L({bf m})$ be one of the finite dimensional modular Lie algebras $W_n({bf m}),$ $S_n({bf m}),$ $ H_n({bf m})$ and let $L$ be one of corresponding $p$-algebras $W_n,$ $S_n,$ $ H_n.$ We prove that there exists a nontrivial map from the algebra $S(L)^L$ of symmetrical invariants into the algebra $S(L({bf m}))^{L({bf m}) }.$