Definition of Complexification. Meaning of Complexification. Synonyms of Complexification

- 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...
- mutation. Complexification: the ability of the system (including evolutionary algorithm and genotype to phenotype mapping) to allow complexification of the...
- finite-dimensional real Lie algebra is semisimple if and only if its complexification is semisimple. Each endomorphism x of a finite-dimensional vector space...
- algebra g0 is called a real form of a complex Lie algebra g if g is the complexification of g0: g≃g0⊗RC.{\displaystyle {\mathfrak {g}}\simeq {\mathfrak {g}}_{0}\otimes...
- 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...
- SU(n) consists of n × n skew-Hermitian matrices with trace zero. The complexification of the Lie algebra su(n){\displaystyle {\mathfrak {su}}(n)} is sl(n;C){\displaystyle...
- Kenneth O. (2004). "Efficient Evolution of Neural Networks Through Complexification". Department of Computer Sciences, the University of Texas at Austin...
- Jv)+i\omega (u,v).} Given any real vector space V we may define its complexification by extension of scalars: VC=V⊗RC.{\displaystyle V^{\mathbb {C} }=V\otimes...
- C){\displaystyle {\mathfrak {sl}}(2,\mathbb {C} )} is isomorphic to the complexification of so(3){\displaystyle {\mathfrak {so}}(3)}, meaning the tensor product...