Designs Related Through Projective and Hopf Maps
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454_2025_Article_805.pdf
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845.43 KB
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Adobe PDF
Checksum (MD5)
7ea1ff5c2b4e2e42f1aa7f1326e50113
Author(s)
Lindblad, Ayodeji
Date Issued
November 28, 2025
Journal
Discrete & Computational Geometry
Publisher
Springer US
Citation
Lindblad, A. Designs Related Through Projective and Hopf Maps. Discrete Comput Geom (2025).
Version
Final published version
Abstract
We verify a construction which, for K the reals, complex numbers, quaternions, or octonions, builds a spherical t-design by placing a spherical t-design on each K -projective or K -Hopf fiber associated to the points of a ⌊ t / 2 ⌋ -design on a quotient projective space K P n ≠ O P 2 or sphere. This generalizes work of König and Kuperberg, who verified the K = C case of the projective settings, and of Okuda, who (inspired by independent observation of this construction by Cohn, Conway, Elkies, and Kumar) verified the K = C case of the generalized Hopf settings.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/s00454-025-00805-7
