- CPn with
circles as fibers, and
there are also real, quaternionic, and
octonionic versions of
these fibrations. In particular, the Hopf
fibration belongs...
- 1 = x ∗ ‖ x ‖ 2 . {\displaystyle x^{-1}={\frac {x^{*}}{\|x\|^{2}}}.}
Octonionic multiplication is
neither commutative: eiej = −ejei ≠ ejei if i, j are...
- Profile, a
Bluetooth communications protocol based on the OBEX
protocol Octonionic projective plane, or
Cayley plane, a
projective plane over the octonions...
- solutions. Eilenberg–Niven
theorem can also be
generalized to octonions: all
octonionic polynomials with a
unique monomial of
higher degree have at
least one...
- In mathematics, the
Cayley plane (or
octonionic projective plane) P2(O) is a
projective plane over the octonions. The
Cayley plane was
discovered in 1933...
- the
isometry group of a 16-dimensional
Riemannian manifold known as the
octonionic projective plane OP2. This can be seen
systematically using a construction...
- ISBN 0-8247-2669-3. Rafał Abłamowicz;
Pertti Lounesto;
Josep M.
Parra (1996). "§ Four
octonionic basis numberings".
Clifford algebras with
numeric and
symbolic com****tions...
- but this
fails since octonion multiplication is non****ociative. The
octonionic structure does give S7 one
important property: parallelizability. It turns...
-
Jordan algebra of
Clifford type. The
Jordan algebra of 3×3 self-adjoint
octonionic matrices, as
above (an
exceptional Jordan algebra called the
Albert algebra)...
- the
first exotic spheres were discovered. 8-sphere
Homeomorphic to the
octonionic projective line OP1. 23-sphere A
highly dense sphere-****ng is possible...
