Zeta functions of 3-dimensional p-Adic lie algebras

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OWP2007_10.pdf (250.82 KB)

Date

2007

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Advisor

Volume

2007-10

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Journal

Series Titel

Oberwolfach Preprints (OWP)

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Publisher

Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach

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Link to publishers' Version

https://doi.org/10.14760/OWP-2007-10

Abstract

We give an explicit formula for the subalgebra zeta function of a general 3-dimensional Lie algebra over the p-adic integers Zp. To this end, we associate to such a Lie algebra a ternary quadratic form over Zp. The formula for the zeta function is given in terms of Igusa's local zeta function associated to this form.

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Keywords

Subgroup growth, 3-dimensional Lie algebras, Igusa's local zeta function, ternary quadratic forms

Keywords GND

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Publication Type

Report

Version

publishedVersion

URI

https://doi.org/10.34657/3495
 https://oa.tib.eu/renate/handle/123456789/1748

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Mathematik
Oberwolfach Preprints (OWP)

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This 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.
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