On the rigidity of spherical \(t\)-designs that are orbits of reflection groups \(E_8\) and \(H_4\)

DOI10.1016/j.ejc.2007.09.003zbMath1152.05016OpenAlexW2127131560MaRDI QIDQ942138

Hiroshi Nozaki

Publication date: 4 September 2008

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2007.09.003

zbMATH Keywords

Lie algebrasspherical t-designsWyle group

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05)

Related Items (1)

A survey on spherical designs and algebraic combinatorics on spheres

Cites Work

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• Isometric embeddings between classical Banach spaces, cubature formulas, and spherical designs
• Spherical codes and designs
• Tight spherical designs. I
• On the rigidity of spherical \(t\)-designs that are orbits of finite reflection groups
• Tight Spherical Disigns, II
• Error-Correcting Codes and Invariant Theory: New Applications of a Nineteenth-Century Technique
• The nonexistence of certain tight spherical designs
• Uniqueness of the 120-point spherical 11-design in four dimensions

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