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

Stasinski A, Voll C (2017)
Forum Mathematicum 29(3): 717-734.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
Download
Es wurden keine Dateien hochgeladen. Nur Publikationsnachweis!
Autor*in
Stasinski, Alexander; Voll, ChristopherUniBi
Abstract / Bemerkung
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.
Stichworte
Finitely generated nilpotent groups; representation zeta functions; Igusa local zeta functions; p-adic integration; prehomogeneous vector; spaces
Erscheinungsjahr
2017
Zeitschriftentitel
Forum Mathematicum
Band
29
Ausgabe
3
Seite(n)
717-734
ISSN
0933-7741
eISSN
1435-5337
Page URI
https://pub.uni-bielefeld.de/record/2911760

Zitieren

Stasinski A, Voll C. Representation zeta functions of some nilpotent groups associated to prehomogeneous vector spaces. Forum Mathematicum. 2017;29(3):717-734.
Stasinski, A., & Voll, C. (2017). Representation zeta functions of some nilpotent groups associated to prehomogeneous vector spaces. Forum Mathematicum, 29(3), 717-734. doi:10.1515/forum-2015-0099
Stasinski, A., and Voll, C. (2017). Representation zeta functions of some nilpotent groups associated to prehomogeneous vector spaces. Forum Mathematicum 29, 717-734.
Stasinski, A., & Voll, C., 2017. Representation zeta functions of some nilpotent groups associated to prehomogeneous vector spaces. Forum Mathematicum, 29(3), p 717-734.
A. Stasinski and C. Voll, “Representation zeta functions of some nilpotent groups associated to prehomogeneous vector spaces”, Forum Mathematicum, vol. 29, 2017, pp. 717-734.
Stasinski, A., Voll, C.: Representation zeta functions of some nilpotent groups associated to prehomogeneous vector spaces. Forum Mathematicum. 29, 717-734 (2017).
Stasinski, Alexander, and Voll, Christopher. “Representation zeta functions of some nilpotent groups associated to prehomogeneous vector spaces”. Forum Mathematicum 29.3 (2017): 717-734.