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 number field, obtained by formally extending the scaling of vectors by real numbers to include their scaling ("multiplication") by complex numbers. Any basis for V (a space over the real numbers) may also serve as a basis for VC over the complex numbers.
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Albert algebraBioctonionBiquaternionBivector (complex)CR manifoldCartan decompositionChange of ringsCircular points at infinityClassical Hamiltonian quaternionsClassical groupClifford algebraComplex Lie algebraComplex conjugate representationComplex spacetimeComplex vector bundleComplexification (Lie group)Complexification of vector spaceComplexifiedComplexifyCourant algebroidDirac algebraEisenbud–Levine–Khimshiashvili signature formulaEquichordal point problemField extensionFlat moduleFrobenius–Schur indicatorGamma matricesHarish-Chandra classHarmonic superspaceHermitian manifoldHolomorphic tangent bundleHurwitz's theorem (composition algebras)Iwasawa decompositionKac–Moody algebraKazhdan–Lusztig polynomialKilling formKostant's convexity theoremLie algebraLie group–Lie algebra correspondenceLinear complex structure
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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 number field, obtained by formally extending the scaling of vectors by real numbers to include their scaling ("multiplication") by complex numbers. Any basis for V (a space over the real numbers) may also serve as a basis for VC over the complex numbers.
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In der linearen Algebra ist ei ...... hr ähnliche Eigenschaften hat.
@de
In mathematics, the complexifi ...... r VC over the complex numbers.
@en
В лінійній алгебрі комплексифі ...... ння та класифікація алгебр Лі.
@uk
Комплексифика́ция — это операц ...... ипов вещественных пространств
@ru
數學中，實數域上的向量空間V的複化是在複數域上對應的向量空間 ...... 複向量空間都是實向量空間的複化。 例如有標準共軛運算，那麼。
@zh
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In der linearen Algebra ist ei ...... hr ähnliche Eigenschaften hat.
@de
In mathematics, the complexifi ...... r VC over the complex numbers.
@en
В лінійній алгебрі комплексифі ...... ння та класифікація алгебр Лі.
@uk
Комплексифика́ция — это операц ...... ь — тензорное произведение над
@ru
數學中，實數域上的向量空間V的複化是在複數域上對應的向量空間 ...... 複向量空間都是實向量空間的複化。 例如有標準共軛運算，那麼。
@zh
label
Complexification
@en
Komplexifizierung
@de
Комплексификация
@ru
Комплексифікація
@uk
複化
@zh