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arXiv:math/0610126 [math.AT]AbstractReferencesReviewsResources

The homotopy Lie algebra of a complex hyperplane arrangement is not necessarily finitely presented

Jan-Erik Roos

Published 2006-10-03, updated 2007-02-09Version 2

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.

Comments: v2 New version now expanded to 27 pages. The irrationality question is now solved
Categories: math.AT, math.RA
Subjects: 16E05, 52C35
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