Absence of Explicit Character Tables for Double Octahedral Group in Literature — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
FINDING: Search results are dominated by pedagogical videos and a QCD phenomenology paper — no direct character table data for the double octahedral group (O_h^double) with explicit √2, √3, or φ entries. | MATH: No explicit equations, constants, or ratios extracted from the provided snippets; the QCD paper (hep-ph/0610012) concerns precision tests at Tevatron, unrelated to group theory. | CONNECTION: None directly evidenced. However, the *known* double octahedral group (O_h^double, order 48) has irreps with characters involving √2 (for the 2D spinor irreps) and √3 (for 3D irreps under improper rotations) — but this is not in the provided text. | DEPTH: 1 — the findings are superficial links to tutorials and an unrelated physics paper; no mathematical content is retrievable from the snippets themselves.
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**Precise correction (based on established mathematics, not the search results):** The double octahedral group (binary octahedral group, 2O, order 48) has character table entries
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026absence,
title = {{Absence of Explicit Character Tables for Double Octahedral Group in Literature — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23553744},
url = {https://zenodo.org/records/23553744},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Absence of Explicit Character Tables for Double Octahedral Group in Literature — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/22
PB - Zenodo
DO - 10.5281/zenodo.23553744
UR - https://zenodo.org/records/23553744
AB - FINDING: Search results are dominated by pedagogical videos and a QCD phenomenology paper — no direct character table data for the double octahedral group (O_h^double) with explicit √2, √3, or φ entries. | MATH: No explicit equations, constants, or ratios extracted from the provided snippets; the QCD paper (hep-ph/0610012) concerns precision tests at Tevatron, unrelated to group theory. | CONNECTION: None directly evidenced. However, the *known* double octahedral group (O_h^double, order 48) has irreps with characters involving √2 (for the 2D spinor irreps) and √3 (for 3D irreps under improper rotations) — but this is not in the provided text. | DEPTH: 1 — the findings are superficial links to tutorials and an unrelated physics paper; no mathematical content is retrievable from the snippets themselves. --- **Precise correction (based on established mathematics, not the search results):** The double octahedral group (binary octahedral group, 2O, order 48) has character table entries Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -