- of the
sedenions.
Unlike the octonions, the
sedenions are not an
alternative algebra.
Applying the Cayley–****son
construction to the
sedenions yields...
-
octonions is
called the
sedenions. It
retains the
algebraic property of
power ****ociativity,
meaning that if s is a
sedenion, snsm = sn + m, but loses...
-
trigintaduonions can be
obtained by
applying the Cayley–****son
construction to the
sedenions.
Applying the Cayley–****son
construction to the
trigintaduonions yields...
-
Applying the Cayley–****son
construction to the
octonions produces the
sedenions. The
octonions were
discovered in
December 1843 by John T. Graves, inspired...
- {\displaystyle 4^{2}}
being equal to 4 × 4. {\displaystyle 4\times 4.} The
sedenions form a 16-dimensional
hypercomplex number system.
Sixteen is the base...
-
index of 84), and 48.
There are 84 zero
divisors in the 16-dimensional
sedenions S {\displaystyle \mathbb {S} } . Eighty-four is also: The
number of years...
-
multiplication is not ****ociative in
addition to not
being commutative, and the
sedenions S {\displaystyle \mathbb {S} } , in
which multiplication is not alternative...
-
multiplication is non-****ociative, and the norm of
sedenions is not multiplicative.
After the
sedenions are the 32-dimensional
trigintaduonions (or 32-nions)...
- {\displaystyle \mathbb {C} } then
yields the quaternions, the octonions, the
sedenions, and the trigintaduonions. This
construction turns out to
diminish the...
-
division algebra over the real numbers. The next
extension gives the
sedenions,
which have zero
divisors and so
cannot be a
normed division algebra....
