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

共 50 条

[11] REACTIONS OF N+2 WITH N2
MAIER, WB
BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1968, 13 (02): : 213 - &
[12] Cartan-decomposition subgroups of SO(2, n)
Oh, H
Morris, DW
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 356 (01) : 1 - 38
[13] Eisenstein cohomology for congruence subgroups of SO(n, 2)
Gerald Gotsbacher
Mathematische Zeitschrift, 2011, 267 : 665 - 693
[14] Eisenstein cohomology for congruence subgroups of SO(n, 2)
Gotsbacher, Gerald
MATHEMATISCHE ZEITSCHRIFT, 2011, 267 (3-4) : 665 - 693
[15] Connected subgroups of SO(2,n) acting irreducibly on R2,n
Di Scala, Antonio J.
Leistner, Thomas
ISRAEL JOURNAL OF MATHEMATICS, 2011, 182 (01) : 103 - 121
[16] On the maximal rate of (n+1) x n and (n+2) x n complex orthogonal designs
Das, Smarajit
Rajan, B. Sundar
2006 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY, VOLS 1-6, PROCEEDINGS, 2006, : 381 - +
[17] SPECTRA OF LAPLACE-BELTRAMI OPERATORS ON SO(N+2)-SO(2)XSO(N) AND SP(N+1)-SP(1)XSP(N)
TSUKAMOTO, C
OSAKA JOURNAL OF MATHEMATICS, 1981, 18 (02) : 407 - 426
[18] INVERSION OF DEGREE n+2
Benic, V.
Gorjanc, S.
ACTA MATHEMATICA HUNGARICA, 2009, 122 (03) : 237 - 253
[19] ON CERTAIN CLASSES OF MAXIMAL SUBGROUPS IN PSp（2n,F）
李尚志
查建国
Science China Mathematics, 1982, (12) : 1250 - 1257
[20] Maximal Subgroups Containing Short-root Subgroups in PSp(2n,F)
李尚志
Acta Mathematica Sinica,English Series, 1987, (01) : 82 - 91

← 1 2 3 4 5 →