MAXIMAL DISCRETE SUBGROUPS OF SO+(2, n+2)

被引：2

作者：

Krieg, Aloys ^{[1
]}

Schaps, Felix ^{[1
]}

机构：

[1] Rhein Westfal TH Aachen, Lehrstuhl Math A, D-52056 Aachen, Germany

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2022年 / 150卷 / 06期

关键词：

Special orthogonal group; discriminant kernel; normalizer; maximal discrete group; maximal even lattice; FORMS; EXTENSION; ALGEBRAS;

D O I：

10.1090/proc/15889

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We characterize the maximal discrete subgroups of SO+(2, n+ 2), which contain the discriminant kernel of an even lattice with two hyperbolic planes over Z. They coincide with the normalizers in SO+(2, n + 2) and are given by the group of all integral matrices inside SO+(2, n+ 2), whenever the underlying lattice is maximal even. Finally we deal with the irreducible root lattices as examples.

引用

页码：2357 / 2365

页数：9

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