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

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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.
v2 New version now expanded to 27 pages. The irrationality question is now solved

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Algebraic Topology, Rings and Algebras, 16E05;52C35

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http://salesiana.dossiersoluciones.com/handle/123456789/123569

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0610126
 http://arxiv.org/abs/math/0610126

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arXiv