A new nonarithmetic lattice in PU(3,1)

被引:4
|
作者
Deraux, Martin [1 ]
机构
[1] Univ Grenoble Alpes, Inst Fourier, Gieres, France
来源
ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2020年 / 20卷 / 02期
关键词
REFLECTION GROUPS;
D O I
10.2140/agt.2020.20.925
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study the arithmeticity of the Couwenberg-Heckman-Looijenga lattices in PU(n, 1), and show that they contain a nonarithmetic lattice in PU(3, 1) which is not commensurable to the nonarithmetic Deligne-Mostow lattice in PU(3, 1) .
引用
收藏
页码:925 / 963
页数:39
相关论文
共 50 条
  • [41] Supergravity and IOSp (3,1|4) gauge theory
    Philbin, TG
    CLASSICAL AND QUANTUM GRAVITY, 2003, 20 (22) : 4739 - 4752
  • [42] O(3,1) SYMMETRY AND PP ELASTIC SCATTERING
    SAMIULLAH, M
    RAO, AS
    NUCLEAR PHYSICS B, 1969, B 12 (01) : 119 - +
  • [43] Note on packings in Grassmannian space G(3,1)
    Tibor Tarnai
    Journal of Mathematical Chemistry, 1998, 23 : 415 - 419
  • [44] O(3,1) SYMMETRY AND ASSOCIATED PRODUCTION REACTIONS
    SAMIULLAH, M
    RAO, AS
    NUCLEAR PHYSICS B, 1969, B 10 (02) : 390 - +
  • [45] GRAVITATING CALIBER FIELD ASSOCIATED WITH SO(3,1)
    ARAGONE, C
    RESTUCCIA, A
    ACTA CIENTIFICA VENEZOLANA, 1977, 28 : 86 - 86
  • [46] Chemical Stability of (3,1)-Chiral Graphene Nanoribbons
    Berdonces-Layunta, Alejandro
    Lawrence, James
    Edalatmanesh, Shayan
    Castro-Esteban, Jesus
    Wang, Tao
    Mohammed, Mohammed S. G.
    Colazzo, Luciano
    Pena, Diego
    Jelinek, Pavel
    de Oteyza, Dimas G.
    ACS NANO, 2021, 15 (03) : 5610 - 5617
  • [47] ISO(3,1) GAUGE-THEORY OF GRAVITY
    SHAO, CG
    XU, BQ
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1986, 25 (04) : 347 - 353
  • [48] SO(3,1)-invariant approach to dipole radiation
    Dariescu, Ciprian
    Dariescu, Marina-Aura
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2008, 47 (10) : 2523 - 2532
  • [49] The crossing number of P(3,1) x Pn
    Peng, Y. H.
    Yiew, Y. C.
    DISCRETE MATHEMATICS, 2006, 306 (16) : 1941 - 1946
  • [50] Kolakoski-(3,1) is a (deformed) model set
    Baake, M
    Sing, B
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2004, 47 (02): : 168 - 190