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In mathematics, a complex structure on a real vector space V is an automorphism of V that squares to the minus identity, −I. Such a structure on V allows one to define multiplication by complex scalars in a canonical fashion so as to regard V as a complex vector space.

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  • En matemáticas, una estructura compleja sobre un espacio vectorial real V es un automorfismo de V cuyo cuadrado es igual a menos la identidad en V. Tal estructura nos permitirá definir la multiplicación por escalares complejos de un modo canónico, permitiéndonos tratar así a V, que en un principio era solo un espacio vectorial real, como un espacio vectorial complejo. Las estructuras complejas tienen aplicación en representación de grupos y en , donde juegan un papel esencial en la definición de variedades casi complejas. (es)
  • In mathematics, a complex structure on a real vector space V is an automorphism of V that squares to the minus identity, −I. Such a structure on V allows one to define multiplication by complex scalars in a canonical fashion so as to regard V as a complex vector space. Every complex vector space can be equipped with a compatible complex structure, however, there is in general no canonical such structure. Complex structures have applications in representation theory as well as in complex geometry where they play an essential role in the definition of almost complex manifolds, by contrast to complex manifolds. The term "complex structure" often refers to this structure on manifolds; when it refers instead to a structure on vector spaces, it may be called a linear complex structure. (en)
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  • En matemáticas, una estructura compleja sobre un espacio vectorial real V es un automorfismo de V cuyo cuadrado es igual a menos la identidad en V. Tal estructura nos permitirá definir la multiplicación por escalares complejos de un modo canónico, permitiéndonos tratar así a V, que en un principio era solo un espacio vectorial real, como un espacio vectorial complejo. Las estructuras complejas tienen aplicación en representación de grupos y en , donde juegan un papel esencial en la definición de variedades casi complejas. (es)
  • In mathematics, a complex structure on a real vector space V is an automorphism of V that squares to the minus identity, −I. Such a structure on V allows one to define multiplication by complex scalars in a canonical fashion so as to regard V as a complex vector space. (en)
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  • Estructura compleja (es)
  • Linear complex structure (en)
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