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Linear complex structure

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…

Definition and properties, Examples & Compatibility with other structures

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Overview

Definition and properties

Examples

Compatibility with other structures

Relation to complexifications

Extension to related vector spaces

Advanced semantic analysis

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Map overview Semantic statistics

Linear complex structure

Nodes70
Edges69
Triples9
Avg. degree1.97
Density0.028571
Components1

How this topic connects Entity context

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Linear complex structure

Top relations

related to Complex n-dimensional space Cn · 8
Linear complex structure → As, Cn, Concretely, Given, R2n, That, The, There
is a · 1
Linear complex structure → structure on R2n coming from the complex structure on Cn

Important terminology Word statistics

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Important terminology

complex displaystyle space vector real structure form one mathbb linear basis multiplication 2n matrix may identity given symplectic define structures

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Linear complex structureis astructure on R2n coming from the complex structure on Cn0.90text
Linear complex structurerelated to Complex n-dimensional space CnThe0.60section
Linear complex structurerelated to Complex n-dimensional space CnR2n0.60section
Linear complex structurerelated to Complex n-dimensional space CnCn0.60section
Linear complex structurerelated to Complex n-dimensional space CnThat0.60section
Linear complex structurerelated to Complex n-dimensional space CnConcretely0.60section
Linear complex structurerelated to Complex n-dimensional space CnAs0.60section
Linear complex structurerelated to Complex n-dimensional space CnGiven0.60section
Linear complex structurerelated to Complex n-dimensional space CnThere0.60section

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