Split-quaternion
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~15 min read
Article
15 sectionsContents
- Definition
- Properties
- Representation as complex matrices
- Generation from split-complex numbers
- Stratification
- Nilpotent case
- Imaginary units
- Hyperbolic units
- Stratification by the norm
- Colour space
- Historical notes
- Synonyms
- See also
- References
- Further reading
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In abstract algebra, the split-quaternions or coquaternions form an algebraic structure introduced by James Cockle in 1849 under the latter name. They form an associative algebra of dimension four over the real numbers.