Massey products in graded Lie algebra cohomology

Details Massey products in graded Lie algebra cohomology Massey products in graded Lie algebra cohomology

2006-08-15

arxiv.org/abs/math/0608389v2

Mathematics

Algebraic Topology

Scientific paper

We discuss Massey products in a N-graded Lie algebra cohomology. One of the
main examples is the positive part L_1 of the Witt algebra $W$. We consider an
associated graded algebra m_0 of L_1 with respect to the descending central
series and prove that H*(m_0) is generated with respect to non-trivial Massey
products by one cohomology H^1(m_0).

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