Abstract
Real and Complex Structures. Let V be an n-dimensional complex vector space. Then V can also be regarded as a 2n-dimensional real vector space, and multiplication by \( i\,: = \sqrt {{ - 1}} \) gives a real endomorphism J: V → V with J2 = -idV. If {a1,…, an} is a complex basis of V, then {a1,…, an, ia1,…, ia n} is a real basis of V.
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© 2002 Springer-Verlag New York, Inc.
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Fritzsche, K., Grauert, H. (2002). Holomorphic Functions. In: From Holomorphic Functions to Complex Manifolds. Graduate Texts in Mathematics, vol 213. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-9273-6_1
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DOI: https://doi.org/10.1007/978-1-4684-9273-6_1
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