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The homotopy Lie algebra of a complex hyperplane arrangement is not necessarily finitely presented
Stockholm University, Faculty of Science, Department of Mathematics. matematik.
2008 (English)In: Experimental Mathematics, ISSN 1058-6458, Vol. 17, no 2, 129-143 p.Article in journal (Refereed) Published
Abstract [en]

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.

(The printed paper is slightly different from the 2007 report)

Place, publisher, year, edition, pages
2008. Vol. 17, no 2, 129-143 p.
Keyword [en]
Hyperplane arrangement, homotopy Lie algebra, Yoneda Ext-algebra
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-13355ISI: 000258277100001OAI: oai:DiVA.org:su-13355DiVA: diva2:179875
Available from: 2008-03-20 Created: 2008-03-20 Last updated: 2011-01-10Bibliographically approved

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