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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.
2007 (English)Report (Other academic)
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.

Mathematics Subject Classification (2000): Primary 16E05, 52C35; Secondary 16S37,

55P62

Place, publisher, year, edition, pages
2007. , 27 sidor (version 2 2007) p.
Series
accepterad i något förändrad version för tidskriften Experimental Mathematics, ISSN 1058-6458 ; vol 16:4 eller 17:1
Keyword [en]
Hyperplane arrangement, homotopy Lie algebra, Yoneda Ext-algebra
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-21856OAI: oai:DiVA.org:su-21856DiVA: diva2:188383
Available from: 2007-12-16 Created: 2007-12-16Bibliographically approved

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http://xxx.lanl.gov/abs/math/0610126v2

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Roos, Jan-Erik
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CiteExportLink to record
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