- In
abstract algebra, the split-quaternions or
coquaternions form an
algebraic structure introduced by
James ****le in 1849
under the
latter name. They...
-
algebras of the
nineteenth century,
including Quaternions Tessarines Coquaternions Biquaternions Hyperbolic quaternions This
disambiguation page lists...
- investigations. For
instance he
invented the
number systems of
tessarines and
coquaternions, and
worked with
Arthur Cayley (1821–1895) on the
theory of
linear algebra...
- (link)
Sedenions ( S {\displaystyle \mathbb {S} } ),
trigintaduonions ( T {\displaystyle \mathbb {T} } ), tessarines,
coquaternions, and biquaternions....
- both
quaternions and
coquaternions, all
scalar quantities are
treated as
implicit multiples of I2 and
notated as 1. The
coquaternion q = w + x i + y j...
- it;
consider these examples: The ****ociative
algebras consisting of
coquaternions and 2 × 2 real
matrices are
isomorphic as rings. Yet they
appear in...
- and
numbers that
contain nilpotent spaces include split-quaternions (
coquaternions), split-octonions,
biquaternions C ⊗ H {\displaystyle \mathbb {C} \otimes...
- the
nineteenth century number systems called quaternions, tessarines,
coquaternions, biquaternions, and
octonions became established concepts in mathematical...
-
introduced exterior algebras.
James ****le
presented tessarines in 1848 and
coquaternions in 1849.
William Kingdon Clifford introduced split-biquaternions in...
-
Crowe in A
History of
Vector Analysis. Soon after,
tessarines and
coquaternions were
introduced as
other four-dimensional
algebras over R. In 1886,...
