- 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...
-
nineteenth century,
number systems called quaternions, tessarines,
coquaternions, biquaternions, and
octonions became established concepts in mathematical...
-
their intersection, sum, etc. The ****ociative
algebras consisting of
coquaternions and 2 × 2 real
matrices are
isomorphic as rings. Yet they
appear in...
- 64 and greater. Less
common variants include as
bicomplex numbers,
coquaternions, and biquaternions. p-adic numbers:
Various number systems constructed...
- The
special unitary group SU(1,1) is the unit
sphere in the ring of
coquaternions. It is the
group of
hyperbolic motions of the Poincaré disk
model of...
- and
numbers that
contain nilpotent spaces include split-quaternions (
coquaternions), split-octonions,
biquaternions C ⊗ H {\displaystyle \mathbb {C} \otimes...
-
Crowe in A
History of
Vector Analysis. Soon after,
tessarines and
coquaternions were
introduced as
other four-dimensional
algebras over R. In 1886,...
- 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...
-
quaternions and biquaternions;
James ****le
presented tessarines and
coquaternions; and
William Kingdon Clifford was an
enthusiast of split-biquaternions...