The Octonions

Baez, J. (2002). The Octonions. Bulletin of the American Mathematical Society, 145-205.

Type

Journal article

Intellectual base

Primary research

Year

2002

Pages

145-205

ISSN

0273-0979

DOI

10.1090/s0273-0979-01-00934-x

DOI registrant

American Mathematical Society

Link

https://math.ucr.edu/home/baez/octonions/node2.html

Cited by

2 citations across 2 artifacts.

Domain-specific

• Euler's Four-Square Identity
  • It transfers from complex numbers and two squares to quaternions and four squares, and—with nonassociative qualifications—to octonions and eight squares.
• Power Associativity
  • Alternative algebras, including the octonions, are power-associative because every two-generated subalgebra is associative, even though some three-element products fail global associativity.

Verification

Does it exist? Confirmed. This work's DOI resolves to a registered record, which fixes its identity. That is all it fixes.

Does it back the claim? Not recorded. Neither this nor any other of the 2 citations of this work carries a recorded support check.

Support is checked per citation rather than per work — the same source can be cited soundly in one article and wrongly in another. Per-citation recording began recently, so a citation with no recorded check is a gap in the record rather than evidence it went unchecked.

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Links previously used in the corpus

Before the registry existed this work was also linked 1 other way.

• https://doi.org/10.1090/S0273-0979-01-00934-X ×1

Registry ID ref:a99e11eae083 · see in the full table