In mathematics, a complex structure on a real vector space V {\displaystyle V} is an automorphism of V {\displaystyle V} that squares to the minus identity, − id V {\displaystyle -{\text{id}}_{V}} . Such a structure on V {\displaystyle V} allows one to define multiplication by complex scalars in a canonical fashion so as to regard V {\displaystyle V} as a complex vector space.
In mathematics, a complex structure on a real vector space V {\displaystyle V} is an automorphism of V {\displaystyle V} that squares to the minus identity, − id V {\displaystyle -{\text{id}}_{V}} . Such a structure on V {\displaystyle V} allows one to define multiplication by complex scalars in a canonical fashion so as to regard V {\displaystyle V} as a complex vector space.
Source: Wikipedia "Linear complex structure" · CC BY-SA 4.0
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