Geometriae Dedicata

, Volume 86, Issue 1, pp 169–178

Euclidean Subspaces of the Complex Spaces ℓpn Constructed by Orbits of Finite Subgroups of SU(m)

  • Yuri I. Lyubich
  • Oksana A. Shatalova

DOI: 10.1023/A:1011905900415

Cite this article as:
Lyubich, Y.I. & Shatalova, O.A. Geometriae Dedicata (2001) 86: 169. doi:10.1023/A:1011905900415


A group representation method is used to construct minimal isometric embeddings ℓ22 into ℓ810 and ℓ1012 over C. The second of them yields a tight 5-design in C2. The corresponding angle set contains some irrational numbers.

isometric embeddingsspherical designsgroup representationsinvariants

Copyright information

© Kluwer Academic Publishers 2001

Authors and Affiliations

  • Yuri I. Lyubich
    • 1
  • Oksana A. Shatalova
    • 1
  1. 1.Department of Mathematics, TechnionHaifaIsrael