From TheBestLinks.com
In mathematics, hypercomplex numbers are extensions of the complex numbers constructed by means of abstract algebra, such as quaternions, octonions and sedenions.
Whereas complex numbers can be viewed as points in a plane, hypercomplex numbers can be viewed as points in some higher-dimensional Euclidean space (4 dimensions for the quaternions, 8 for the octonions, 16 for the sedenions).
More precisely, they form finite-dimensional algebras over the real numbers.
But none of these extensions forms a field, essentially because the
field of complex numbers is algebraically closed — see fundamental theorem of algebra.
The quaternions, octonions and sedenion can be generated by the
Cayley-Dickson construction. The Clifford algebras are another family
of hypercomplex numbers.
See also
fr:Nombre hypercomplexe
Related links
Top visited
0 of
0 links
[no links posted yet]
>> place link >>
Discussion
Last posted
0 of
0 messages
[no messages posted yet]
>> post message >>
Watch
You can
add this article to your own "watchlist" and receive e-mail notification about all changes in this page.
