-
representation theory, a
quaternionic representation is a
representation on a
complex vector space V with an
invariant quaternionic structure, i.e., an antilinear...
-
Quaternionic manifold –
Concept in
geometry Quaternionic matrix –
Concept in
linear algebra Quaternionic polytope –
Concept in
geometry Quaternionic projective...
- A
quaternionic matrix is a
matrix whose elements are quaternions. The
quaternions form a
noncommutative ring, and
therefore addition and multiplication...
- In
differential geometry, a
quaternionic manifold is a
quaternionic analog of a
complex manifold. The
definition is more
complicated and
technical than...
- In mathematics,
quaternionic analysis is the
study of
functions with
quaternions as the
domain and/or range. Such
functions can be
called functions of...
- The Lie
algebra of Sp(n) is
given by the
quaternionic skew-Hermitian matrices, the set of n-by-n
quaternionic matrices that
satisfy A + A † = 0 {\displaystyle...
- In mathematics,
quaternionic projective space is an
extension of the
ideas of real
projective space and
complex projective space, to the case
where coordinates...
-
Hermitian or skew-Hermitian
sesquilinear forms defined on real,
complex and
quaternionic finite-dimensional
vector spaces. Of these, the
complex classical Lie...
- theories, (real) KO-theory and (
quaternionic) KSp-theory, ****ociated to the real
orthogonal group and the
quaternionic symplectic group, respectively....
- mathematics, a
quaternionic structure or Q-structure is an
axiomatic system that
abstracts the
concept of a
quaternion algebra over a field. A
quaternionic structure...
