Split-quaternion
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~15 min read
Encyclopedic overview
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.
Excerpted from Wikipedia’s “Split-quaternion” article, available under the CC BY-SA 4.0 licence.