Zeta functions of 3-dimensional p-adic Lie algebras

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dc.creatorKlopsch, Benjamin
dc.creatorVoll, Christopher
dc.date2007-10-10
dc.date.accessioned2026-07-07T08:35:24Z
dc.date.available2026-07-07T08:35:24Z
dc.descriptionWe 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.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/0710.1970
dc.identifierhttp://arxiv.org/abs/0710.1970
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139738
dc.subjectGroup Theory
dc.subject20E07; 11S40; 11E20
dc.titleZeta functions of 3-dimensional p-adic Lie algebras
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