- In mathematics, the
complexification of a
vector space V over the
field of real
numbers (a "real
vector space")
yields a
vector space VC over the complex...
- In mathematics, the
complexification or
universal complexification of a real Lie
group is
given by a
continuous homomorphism of the
group into a complex...
- {\displaystyle {\mathfrak {sl}}(2,\mathbb {C} )} is
isomorphic to the
complexification of s o ( 3 ) {\displaystyle {\mathfrak {so}}(3)} ,
meaning the tensor...
-
algebra g0 is
called a real form of a
complex Lie
algebra g if g is the
complexification of g0: g ≃ g 0 ⊗ R C . {\displaystyle {\mathfrak {g}}\simeq {\mathfrak...
- mutation.
Complexification: the
ability of the
system (including
evolutionary algorithm and
genotype to
phenotype mapping) to
allow complexification of the...
-
infinity in the
complex projective plane that are
contained in the
complexification of
every real circle. A
point of the
complex projective plane may be...
-
exactly the same as the
definition bar the
field change. Sp(n, C) is the
complexification of the real
group Sp(2n, R). Sp(2n, R) is a real, non-compact, connected...
-
using Weyl's
unitary trick: each
semisimple real Lie
group G has a
complexification,
which is a
complex Lie
group Gc, and this
complex Lie
group has a...
-
isomorphism identifying End EC with the
complexification of End E, the
complex derivations is
identified with the
complexification of the real derivations. The Jordan...
-
Dynkin diagrams Cartan subalgebra Root
system Weyl
group Real form
Complexification Split Lie
algebra Compact Lie
algebra Representation theory Lie group...
