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split-octonion

8-dimensional nonassociative normed composition algebra over the real numbers
Thing alternative_algebra Q3348988
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split-octonion

Summary

split-octonion is an alternative algebra[1]. split-octonion draws 44 Wikipedia views per month (alternative_algebra category, ranking #2 of 2).[2]

Key Facts

  • split-octonion's instance of is recorded as alternative algebra[3].
  • split-octonion's Freebase ID is recorded as /m/0b3stw[4].
  • split-octonion's defining formula is recorded as \begin{matrix}\times&i&j&k&l&li&lj&lk\\hline i|&-1&-k&-j&-li&l&-lk&lj\j|&-k&-1&i&-lj&lk&l&-li\k|&j&-i&-1&-lk&-lj&li&l\l|&li&lj&lk&1&i&j&k\li|&-l&-lk&lj&-i&1&k&-j\lj|&lk&-l&-li&-j&-k&1&i\lk|&-lj&li&-l&-k&j&-i&1\end{matrix}[5].
  • split-octonion's schematic is recorded as SplitFanoPlane.svg[6].
  • split-octonion's maintained by WikiProject is recorded as WikiProject Mathematics[7].
  • split-octonion's Microsoft Academic ID is recorded as 2781007505[8].

Why It Matters

split-octonion draws 44 Wikipedia views per month (alternative_algebra category, ranking #2 of 2).[2] split-octonion has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[9]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] ↑ . wikidata.org.
  2. [4] ↑ . wikidata.org.
  3. [5] ↑ . wikidata.org.
  4. [6] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [9] ↑ . Wikidata sitelinks. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). split-octonion. Retrieved May 3, 2026, from https://4ort.xyz/entity/split-octonion
MLA “split-octonion.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/split-octonion.
BibTeX @misc{4ortxyz_split-octonion_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{split-octonion}}, year = {2026}, url = {https://4ort.xyz/entity/split-octonion}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): split-octonion — https://4ort.xyz/entity/split-octonion (retrieved 2026-05-03)

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