Octonions: Difference between revisions
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'''Octonions''' are a [[Commutativity|non-commutative]] extension of the [[Complex number|complex numbers]]. They were were first discovered by John Graves, a friend of Sir William Rowan Hamilton who first described the related [[Quaternions|quaternions]]. | '''Octonions''' are a [[Commutativity|non-commutative]] extension of the [[Complex number|complex numbers]]. They were were first discovered by John Graves, a friend of Sir William Rowan Hamilton who first described the related [[Quaternions|quaternions]]. | ||
Although Hamilton offered to publicize Graves discovery, it took Arthur Cayley to rediscover and publish in 1845, for this reason octonions are also known as Cayley Numbers. | Although Hamilton offered to publicize Graves discovery, it took Arthur Cayley to rediscover and publish in 1845, for this reason octonions are also known as Cayley Numbers. | ||
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== References == | == References == | ||
Revision as of 06:49, 12 November 2007
Octonions are a non-commutative extension of the complex numbers. They were were first discovered by John Graves, a friend of Sir William Rowan Hamilton who first described the related quaternions. Although Hamilton offered to publicize Graves discovery, it took Arthur Cayley to rediscover and publish in 1845, for this reason octonions are also known as Cayley Numbers.
Definition & basic operations
The octinions, , are a eight-dimensional normed division algebra over the real numbers.