Closed orbits for the diagonal group and well-rounded lattices

Michael Levin; Uri Shapira; Barak Weiss

doi:10.4171/GGD/380

Closed orbits for the diagonal group and well-rounded lattices

Michael Levin, Uri Shapira, Barak Weiss

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

Curt McMullen showed that every compact orbit for the action of the diagonal group on the space of lattices contains a well-rounded lattice. We extend this to all closed orbits.

Original language	English
Pages (from-to)	1211-1225
Number of pages	15
Journal	Groups, Geometry, and Dynamics
Volume	10
Issue number	4
DOIs	https://doi.org/10.4171/GGD/380
State	Published - 1 Jan 2016

Keywords

Closed orbits
Diagonal group
Well-rounded lattices

ASJC Scopus subject areas

Geometry and Topology
Discrete Mathematics and Combinatorics

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10.4171/GGD/380

Cite this

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title = "Closed orbits for the diagonal group and well-rounded lattices",

abstract = "Curt McMullen showed that every compact orbit for the action of the diagonal group on the space of lattices contains a well-rounded lattice. We extend this to all closed orbits.",

keywords = "Closed orbits, Diagonal group, Well-rounded lattices",

author = "Michael Levin and Uri Shapira and Barak Weiss",

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AU - Shapira, Uri

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Closed orbits for the diagonal group and well-rounded lattices

Abstract

Keywords

ASJC Scopus subject areas

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