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DECOMPOSITION THEOREMS FOR A GENERALIZATION OF THE HOLONOMY LIE ALGEBRA OF AN ARRANGEMENT
Stockholm University, Faculty of Science, Department of Mathematics.
Number of Authors: 12016 (English)In: Communications in Algebra, ISSN 0092-7872, E-ISSN 1532-4125, Vol. 44, no 11, p. 4654-4663Article in journal (Refereed) Published
Abstract [en]

In the article When does the Associated graded Lie algebra of an Arrangement Group Decompose? by Stefan Papadima and Alexander Suciu [7], it is proved that the holonomy Lie algebra of an arrangement of hyperplanes through origin decomposes as a direct product of Lie algebras in degree at least two if and only if a certain (computable) condition is fulfilled. We prove similar results for a class of Lie algebras which is a generalization of the holonomy Lie algebras. The proof methods are the same as in the article cited above.

Place, publisher, year, edition, pages
2016. Vol. 44, no 11, p. 4654-4663
Keywords [en]
Holonomy Lie algebra, Hyperplane arrangement
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-133256DOI: 10.1080/00927872.2015.1100303ISI: 000380150900004OAI: oai:DiVA.org:su-133256DiVA, id: diva2:958307
Available from: 2016-09-06 Created: 2016-09-05 Last updated: 2017-11-21Bibliographically approved

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