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Representation zeta functions of some nilpotent groups associated to prehomogeneous vector spaces.

Stasinski, Alexander and Voll, Christopher (2017) 'Representation zeta functions of some nilpotent groups associated to prehomogeneous vector spaces.', Forum mathematicum., 29 (3). pp. 717-734.

Abstract

We compute the representation zeta functions of some finitely generated nilpotent groups associated to unipotent group schemes over rings of integers in number fields. These group schemes are defined by Lie lattices whose presentations are modelled on certain prehomogeneous vector spaces. Our method is based on evaluating p-adic integrals associated to certain rank varieties of matrices of linear forms.

Item Type:Article
Full text:(AM) Accepted Manuscript
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Status:Peer-reviewed
Publisher Web site:https://doi.org/10.1515/forum-2015-0099
Publisher statement:The final publication is available at www.degruyter.com Alexander Stasinski & Christopher Voll, “Representation zeta functions of some nilpotent groups associated to prehomogeneous vector spaces”; in: Bruinier, Jan Hendrik (ed.) of journal, Forum Mathematicum, Published Online: 2016-06-21
Date accepted:23 May 2016
Date deposited:21 July 2016
Date of first online publication:21 June 2016
Date first made open access:21 June 2017

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