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

Stasinski, Alexander; Voll, Christopher

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Authors

Christopher Voll



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.

Citation

Stasinski, A., & Voll, C. (2017). Representation zeta functions of some nilpotent groups associated to prehomogeneous vector spaces. Forum Mathematicum, 29(3), 717-734. https://doi.org/10.1515/forum-2015-0099

Journal Article Type Article
Acceptance Date May 23, 2016
Online Publication Date Jun 21, 2016
Publication Date May 1, 2017
Deposit Date Jul 14, 2016
Publicly Available Date Jun 21, 2017
Journal Forum Mathematicum
Print ISSN 0933-7741
Electronic ISSN 1435-5337
Publisher De Gruyter
Peer Reviewed Peer Reviewed
Volume 29
Issue 3
Pages 717-734
DOI https://doi.org/10.1515/forum-2015-0099

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Accepted Journal Article (500 Kb)
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Copyright 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




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