Free products of groups with bi-invariant metrics

被引:0
|
作者
Singhof, Wilhelm [1 ]
机构
[1] Univ Dusseldorf, Math Inst, D-40225 Dusseldorf, Germany
关键词
Free products; Bi-invariant metrics; Universal properties;
D O I
10.1016/j.topol.2015.02.013
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
For a family of groups G(lambda) which are equipped with hi-invariant metrics, we construct, in a very explicit manner, a bi-invariant metric on the free product of the G(lambda). The universal properties of this construction are investigated and some open questions are formulated. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码:75 / 81
页数:7
相关论文
共 50 条
  • [1] Bi-invariant metrics on the contactomorphism groups
    Sandon, Sheila
    SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, 2015, 9 (02): : 195 - 228
  • [2] Bi-invariant and noninvariant metrics on Lie groups
    Ghanam, R.
    Hindeleh, F.
    Thompson, G.
    JOURNAL OF MATHEMATICAL PHYSICS, 2007, 48 (10)
  • [3] Bi-invariant Randers metrics on Lie groups
    Latifi, Dariush
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2010, 76 (1-2): : 219 - 226
  • [4] SUPPLIED LIE-GROUPS OF BI-INVARIANT METRICS
    MEDINA, A
    TOHOKU MATHEMATICAL JOURNAL, 1985, 37 (04) : 405 - 421
  • [5] On the existence of bi-invariant Finsler metrics on Lie groups
    Latifi D.
    Toomanian M.
    Mathematical Sciences, 2013, 7 (1)
  • [6] SPECTRAL UNIQUENESS OF BI-INVARIANT METRICS ON SYMPLECTIC GROUPS
    Lauret, Emilio A.
    TRANSFORMATION GROUPS, 2019, 24 (04) : 1157 - 1164
  • [7] SPECTRAL UNIQUENESS OF BI-INVARIANT METRICS ON SYMPLECTIC GROUPS
    EMILIO A. LAURET
    Transformation Groups, 2019, 24 : 1157 - 1164
  • [8] ON BI-INVARIANT WORD METRICS
    Gal, Swiatoslaw R.
    Kedra, Jarek
    JOURNAL OF TOPOLOGY AND ANALYSIS, 2011, 3 (02) : 161 - 175
  • [9] A CLASS OF NEW BI-INVARIANT METRICS ON THE HAMILTONIAN DIFFEOMORPHISM GROUPS
    Lu, Guangcun
    Sun, Tie
    TAIWANESE JOURNAL OF MATHEMATICS, 2015, 19 (04): : 1111 - 1143
  • [10] Vacuum quantum effects on Lie groups with bi-invariant metrics
    Breev, A., I
    Shapovalov, A., V
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2019, 16 (08)