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Zeta functions of 3-dimensional p-adic Lie algebras

dc.contributor.authorKlopsch, Benjamin
dc.contributor.authorVoll, Christopher
dc.date.accessioned2007-03-20T12:00:06Z
dc.date.accessioned2016-10-05T14:14:18Z
dc.date.available2007-03-20T12:00:06Z
dc.date.available2016-10-05T14:14:18Z
dc.date.issued2007-03-26
dc.identifier.urihttp://publications.mfo.de/handle/mfo/1185
dc.descriptionResearch in Pairs 2007en_US
dc.description.abstractWe give an explicit formula for the subalgebra zeta function of a general 3-dimensional Lie algebra over the $p$-adic integers $\mathbb{Z}_p$. To this end, we associate to such a Lie algebra a ternary quadratic form over $\mathbb{Z}_p$. The formula for the zeta function is given in terms of Igusa's local zeta function associated to this form.en_US
dc.language.isoenen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2007,10
dc.subjectSubgroup growthen_US
dc.subject3-dimensional Lie algebrasen_US
dc.subjectIgusa's local zeta functionen_US
dc.subjectternary quadratic formsen_US
dc.titleZeta functions of 3-dimensional p-adic Lie algebrasen_US
dc.typePreprinten_US
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.de
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.en
dc.identifier.doi10.14760/OWP-2007-10
local.scientificprogramResearch in Pairs 2007
local.series.idOWP-2007-10
local.subject.msc20
local.subject.msc11
dc.identifier.urnurn:nbn:de:101:1-20080627169
dc.identifier.ppn164616315X


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