- In mathematics, a
bioctonion, or
complex octonion, is a pair (p,q)
where p and q are biquaternions. The
product of two
bioctonions is
defined using biquaternion...
- Cayley–****son
constructions leading to bicomplex, biquaternion, and
bioctonion composition algebras. On
complex numbers, the
square function z → z 2...
- Over C {\displaystyle \mathbb {C} } :
Bicomplex numbers Biquaternions Bioctonions Other hypercomplex Dual
numbers Dual
quaternions Dual-complex numbers...
-
split algebras arise in the
series bicomplex numbers, biquaternions, and
bioctonions,
which uses the
complex number field C {\displaystyle \mathbb {C} } as...
-
doubling that
produces biquaternions, and
doubling again results in
bioctonions. When the base
algebra is ****ociative, the
algebra produced by this Cayley–****son...
-
these are the only
octonion algebras over the reals. The
algebra of
bioctonions is the
octonion algebra over the
complex numbers C. The
octonion algebra...
-
biquaternions (isomorphic to the 2×2
complex matrix ring M(2, C)), and the
bioctonions C ⊗ O,
which are also
called complex octonions. The
matrix ring M(2, C)...
-
groups of
projective planes over
certain algebras over the octonions: the
bioctonions, C ⊗ O, the quateroctonions, H ⊗ O, the octooctonions, O ⊗ O. This proposal...
