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...
- 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...
- {\displaystyle {\mathfrak {sl}}(2,\mathbb {C} )} is isomorphic to the complexification of s o ( 3 ) {\displaystyle {\mathfrak {so}}(3)} , meaning the tensor...
- 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...
- Let M be a real-analytic manifold of dimension n, and let X be its complexification. The sheaf of microlocal functions on M is given as H n ( μ M ( O X...
- isomorphism identifying End EC with the complexification of End E, the complex derivations is identified with the complexification of the real derivations. The Jordan...
- 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...
- SU(n) consists of n × n skew-Hermitian matrices with trace zero. The complexification of the Lie algebra s u ( n ) {\displaystyle {\mathfrak {su}}(n)} is...