Half of an antipodal spherical design |
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Authors: | Eiichi Bannai Da Zhao Lin Zhu Yan Zhu Yinfeng Zhu |
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Affiliation: | 1.School of Mathematical Sciences,Shanghai Jiao Tong University,Shanghai,China |
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Abstract: | We investigate several antipodal spherical designs on which we can choose half of the points, one from each antipodal pair, such that they are balanced at the origin. In particular, root systems of type A, D and E, minimal points of the Leech lattice, and the unique tight 7-design on (S^{22}) are studied. We also study a half of an antipodal spherical design from the viewpoint of association schemes and spherical designs of harmonic index T. |
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