- mathematics, the
octonions are a
normed division algebra over the real numbers, a kind of
hypercomplex number system. The
octonions are
usually represented...
- mathematics, the split-
octonions are an 8-dimensional non****ociative
algebra over the real numbers.
Unlike the
standard octonions, they
contain non-zero...
- In mathematics, an
octonion algebra or
Cayley algebra over a
field F is a
composition algebra over F that has
dimension 8 over F. In
other words, it is...
- Cayley–****son algebras, for
example complex numbers, quaternions, and
octonions.
These examples are
useful composition algebras frequently applied in...
- The
Geometry of the
Octonions is a
mathematics book on the
octonions, a
system of
numbers generalizing the
complex numbers and quaternions, presenting...
-
Petrie polygon of the
tesseract and the 16-cell is a
regular octagon. The
octonions are a
hypercomplex normed division algebra that are an
extension of the...
- In algebra, an
Okubo algebra or pseudo-
octonion algebra is an 8-dimensional non-****ociative
algebra similar to the one
studied by
Susumu Okubo.
Okubo algebras...
- Cayley–****son
construction to the
octonions, and as such the
octonions are
isomorphic to a
subalgebra of the sedenions.
Unlike the
octonions, the
sedenions are not...
- as a 2‑tuple of reals, a
quaternion can be
represented as a 4‑tuple, an
octonion can be
represented as an 8‑tuple, and a
sedenion can be
represented as...
- the
octonions. The
Cayley plane was
discovered in 1933 by Ruth Moufang, and is
named after Arthur Cayley for his 1845
paper describing the
octonions. In...
