Massey Products in Graded Lie Algebra Cohomology (original) (raw)

We discuss Massey products in a N-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 the associated graded algebra m0 of L1 with respect to the filtration by its descending central series and prove that H ∗ (m0) is generated with respect to non-trivial Massey products by H¹(m0).