| 1. | First, matrices contributed new hypercomplex numbers like 2 ?2 real matrices.
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| 2. | See hypercomplex numbers for other low-dimensional examples.
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| 3. | Research turned to hypercomplex numbers more generally.
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| 4. | In 1973 Kantor and Solodovnikov published a textbook on hypercomplex numbers which was translated in 1989.
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| 5. | His interest concentrated on so-called higher complex numbers ( nowadays called hypercomplex numbers ).
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| 6. | In ?4 ( p 386 ) Scheffers reviews both German and English authors on hypercomplex numbers.
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| 7. | All hypercomplex number systems after sedenions that are based on the Cayley Dickson construction contain zero divisors.
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| 8. | For example, the hypercomplex numbers of the nineteenth century had kinematic and physical motivations but challenged comprehension.
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| 9. | Note however, that non-associative systems like octonions and hyperbolic quaternions represent another type of hypercomplex number.
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| 10. | As Hawkins explains, the hypercomplex numbers are stepping stones to learning about Lie groups and group representation theory.
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