[Home]History of Sedenions

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Revision 7 . . December 3, 2001 8:46 am by AxelBoldt
Revision 6 . . (edit) December 3, 2001 8:19 am by Taw [/Talk]
Revision 5 . . August 11, 2001 6:45 pm by Simon J Kissane
  

Difference (from prior major revision) (no other diffs)

Changed: 1c1
Sedenions are the 16-dimensional algebra obtained by applying the [Cayley-Dickson construction]? to the octonions.
The Sedenions form a 16-dimensional algebra over the reals obtained by applying the [Cayley-Dickson construction]? to the octonions.

Changed: 3c3
Like octonions, multiplication? of sedenions is neither commutative nor associative. But unlike octonions, it does not have the property of being "alternative". Multiplication is alternative if:
Like octonions, multiplication? of sedenions is neither commutative nor associative. Unlike octonions, it does not even have the property of being "alternative". Multiplication is alternative if:

Added: 6a7
for natural numbers a and b.

Added: 10a12



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