ИСТИНА

We discuss Massey products in a positively graded Lie algebra cohomology. One of the main examples is so-called positive part L1 of the Witt algebra W. Buchstaber conjectured that H¤(L1) is generated with respect to non-trivial Massey products by H1(L1). Feigin, Fuchs and Retakh represented H¤(L1) by trivial Massey products and the second part of the Buchstaber conjecture is still open. We consider an associated graded algebra m0 of L1 with respect to the ltration by the its descending central series and prove that H¤(m0) is generated with respect to non-trivial Massey products by H1(m0).