An extension of Mahler's theorem to simply connected nilpotent groups

Martin Moskowitz

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (2005)

  • Volume: 16, Issue: 4, page 265-270
  • ISSN: 1120-6330

Abstract

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This Note gives an extension of Mahler's theorem on lattices in R n to simply connected nilpotent groups with a Q -structure. From this one gets an application to groups of Heisenberg type and a generalization of Hermite's inequality.

How to cite

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Moskowitz, Martin. "An extension of Mahler's theorem to simply connected nilpotent groups." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 16.4 (2005): 265-270. <http://eudml.org/doc/252431>.

@article{Moskowitz2005,
abstract = {This Note gives an extension of Mahler's theorem on lattices in $\mathbb\{R\}^\{n\}$ to simply connected nilpotent groups with a $Q$-structure. From this one gets an application to groups of Heisenberg type and a generalization of Hermite's inequality.},
author = {Moskowitz, Martin},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {log lattices; subgroups of finite index; fundamental domains; measure preserving automorphisms; equivariant maps},
language = {eng},
month = {12},
number = {4},
pages = {265-270},
publisher = {Accademia Nazionale dei Lincei},
title = {An extension of Mahler's theorem to simply connected nilpotent groups},
url = {http://eudml.org/doc/252431},
volume = {16},
year = {2005},
}

TY - JOUR
AU - Moskowitz, Martin
TI - An extension of Mahler's theorem to simply connected nilpotent groups
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 2005/12//
PB - Accademia Nazionale dei Lincei
VL - 16
IS - 4
SP - 265
EP - 270
AB - This Note gives an extension of Mahler's theorem on lattices in $\mathbb{R}^{n}$ to simply connected nilpotent groups with a $Q$-structure. From this one gets an application to groups of Heisenberg type and a generalization of Hermite's inequality.
LA - eng
KW - log lattices; subgroups of finite index; fundamental domains; measure preserving automorphisms; equivariant maps
UR - http://eudml.org/doc/252431
ER -

References

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