The homotopy Lie algebra of a complex hyperplane arrangement is not necessarily finitely presented
Algebraic Topology
2007-05-23 v2 Rings and Algebras
Abstract
We present a theory that produces several examples where the homotopy Lie algebra of a complex hyperplane arrangement is not finitely presented. We also present examples of hyperplane arrangements where the enveloping algebra of this Lie algebra has an irrational Hilbert series. This answers two questions of Denham and Suciu.
Keywords
Cite
@article{arxiv.math/0610126,
title = {The homotopy Lie algebra of a complex hyperplane arrangement is not necessarily finitely presented},
author = {Jan-Erik Roos},
journal= {arXiv preprint arXiv:math/0610126},
year = {2007}
}
Comments
v2 New version now expanded to 27 pages. The irrationality question is now solved