Root systems and length functions

被引：11
|
作者：
Bremke, K
Malle, G
机构：
[1] Deutsch Bank, D-60325 Frankfurt, Germany
[2] IWR, D-69120 Heidelberg, Germany
来源：
GEOMETRIAE DEDICATA | 1998年 / 72卷 / 01期
关键词：
complex reflection groups; root system; length function;
D O I：
10.1023/A:1005082508279
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce root systems for those imprimitive complex reflection groups which are generated by involutory reflections, and study the associated length functions. These have many properties in common with the usual length functions for finite Weyl groups.
引用
收藏
页码：83 / 97
页数：15
相关论文
共 50 条
  • [1] Root Systems and Length Functions
    Kirsten Bremke
    Gunter Malle
    Geometriae Dedicata, 1998, 72 : 83 - 97
  • [2] Zeta functions of root systems
    Komori, Y.
    Matsumoto, K.
    Tsumura, H.
    CONFERENCE ON L-FUNCTIONS, 2007, : 115 - +
  • [3] On asymptotic partition functions for root systems
    Takakura, Tatsuru
    TORIC TOPOLOGY, 2008, 460 : 339 - 348
  • [4] Strongly concave functions on root systems
    Courtes, Francois
    MATHEMATICA SLOVACA, 2011, 61 (04) : 539 - 560
  • [5] Interspecific interactions alter root length density, root diameter and specific root length in jujube/wheat agroforestry systems
    B. J. Wang
    W. Zhang
    P. Ahanbieke
    Y. W. Gan
    W. L. Xu
    L. H. Li
    P. Christie
    L. Li
    Agroforestry Systems, 2014, 88 : 835 - 850
  • [6] Interspecific interactions alter root length density, root diameter and specific root length in jujube/wheat agroforestry systems
    Wang, B. J.
    Zhang, W.
    Ahanbieke, P.
    Gan, Y. W.
    Xu, W. L.
    Li, L. H.
    Christie, P.
    Li, L.
    AGROFORESTRY SYSTEMS, 2014, 88 (05) : 835 - 850
  • [7] KIWIFRUIT ROOT SYSTEMS .1. ROOT-LENGTH DENSITIES
    GANDAR, PW
    HUGHES, KA
    NEW ZEALAND JOURNAL OF EXPERIMENTAL AGRICULTURE, 1988, 16 (01): : 35 - 46
  • [8] ROOT SYSTEMS AND HYPERGEOMETRIC FUNCTIONS-III
    OPDAM, EM
    COMPOSITIO MATHEMATICA, 1988, 67 (01) : 21 - 49
  • [9] Complex and rational hypergeometric functions on root systems
    Sarkissian, G. A.
    Spiridonov, V. P.
    JOURNAL OF GEOMETRY AND PHYSICS, 2024, 203
  • [10] Growth functions and length sets of replicating systems
    Faculty of Mathematics, University of Bucharest, Str. Academiei 14, 70109 Bucharest
    不详
    不详
    Acta Cybern, 3 (235-247):
12345