Abstract
A group representation method is used to construct minimal isometric embeddings ℓ2 2 into ℓ8 10 and ℓ10 12 over C. The second of them yields a tight 5-design in C 2. The corresponding angle set contains some irrational numbers.
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Lyubich, Y.I., Shatalova, O.A. Euclidean Subspaces of the Complex Spaces ℓp n Constructed by Orbits of Finite Subgroups of SU(m). Geometriae Dedicata 86, 169–178 (2001). https://doi.org/10.1023/A:1011905900415
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DOI: https://doi.org/10.1023/A:1011905900415