Closed orbits for the diagonal group and well-rounded lattices

被引：5

作者：

Levin, Michael ^{[1
]}

Shapira, Uri ^{[2
]}

Weiss, Barak ^{[3
]}

机构：

[1] Ben Gurion Univ Negev, Dept Math, POB 653, IL-8410501 Beer Sheva, Israel

[2] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

[3] Tel Aviv Univ, Sch Math Sci, IL-69978 Tel Aviv, Israel

来源：

GROUPS GEOMETRY AND DYNAMICS | 2016年 / 10卷 / 04期

关键词：

Closed orbits; diagonal group; well-rounded lattices; DIMENSION;

D O I：

10.4171/GGD/380

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：1211 / 1225

页数：15

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