English

Massey products in graded Lie algebra cohomology

Algebraic Topology 2007-05-23 v2 Rings and Algebras

Abstract

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 WW. 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).

Keywords

Cite

@article{arxiv.math/0608389,
  title  = {Massey products in graded Lie algebra cohomology},
  author = {Dmitri V. Millionschikov},
  journal= {arXiv preprint arXiv:math/0608389},
  year   = {2007}
}