- In
abstract algebra, the
sedenions form a 16-dimensional
noncommutative and non****ociative
algebra over the real numbers,
usually represented by the capital...
-
trigintaduonions can be
obtained by
applying the Cayley–****son
construction to the
sedenions,
which can be
mathematically expressed as T = C D ( S , 1 ) {\displaystyle...
-
Superstring theory 11
dimensions M-theory 12
dimensions F-theory 16
dimensions Sedenion 26
dimensions Bosonic string theory 32
dimensions Trigintaduonion Higher...
-
index of 84), and 48.
There are 84 zero
divisors in the 16-dimensional
sedenions S {\displaystyle \mathbb {S} } .
Messier object M84, a
magnitude 11.0...
-
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...
-
multiplication is not ****ociative in
addition to not
being commutative, and the
sedenions S {\displaystyle \mathbb {S} } , in
which multiplication is not alternative...
- by 7
matrix of only
zeroes and ones is 32. In
sixteen dimensions, the
sedenions generate a non-commutative loop S L {\displaystyle \mathbb {S} _{L}} of...
-
division algebra over the real numbers. The next
extension gives the
sedenions,
which have zero
divisors and so
cannot be a
normed division algebra....
-
multiplication is non-****ociative, and the norm of
sedenions is not multiplicative.
After the
sedenions are the 32-dimensional
trigintaduonions (or 32-nions)...
-
multiplication table. For
further examples, see
Octonion § Multiplication,
Sedenion § Multiplication, and
Trigintaduonion § Multiplication.
Mokkan discovered...
