Definition of complexification. Meaning of complexification. Synonyms of complexification

Here you will find one or more explanations in English for the word complexification. Also in the bottom left of the page several parts of wikipedia pages related to the word complexification and, of course, complexification synonyms and on the right images related to the word complexification.

Definition of complexification

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Meaning of complexification from wikipedia

- 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...
- 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...
- Kenneth O. (2004). "Efficient Evolution of Neural Networks Through Complexification". Department of Computer Sciences, the University of Texas at Austin...
- finite-dimensional real Lie algebra is semisimple if and only if its complexification is semisimple. Each endomorphism x of a finite-dimensional vector space...
- {\displaystyle {\mathfrak {sl}}(2,\mathbb {C} )} is isomorphic to the complexification of s o ( 3 ) {\displaystyle {\mathfrak {so}}(3)} , meaning the tensor...
- Jv)+i\omega (u,v).} Given any real vector space V we may define its complexification by extension of scalars: V C = V ⊗ R C . {\displaystyle V^{\mathbb...
- 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...
- its complexification is either (1) simple or (2) a product of a simple complex Lie algebra and its conjugate. For example, the complexification of s...