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Real structure

In mathematics, a real structure on a complex vector space is a way to decompose the complex vector space in the direct sum of two real vector spaces. The prototype of such a structure is the field of complex numbers itself, considered as a complex vector space over itself and with the conjugation map σ : C → C {\displaystyle \sigma :{\mathbb {C} }\to…

Vector space, Reality structure & Algebraic variety

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Overview

Vector space

Algebraic variety

Scheme

Reality structure

Advanced semantic analysis

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Map overview Semantic statistics

Real structure

Nodes33
Edges32
Triples8
Avg. degree1.94
Density0.060606
Components1

How this topic connects Entity context

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Real structure

Top relations

related to Scheme · 3
Real structure → For, Galois, The
is a · 2
Real structure → complex conjugation acting on the points of the variety in complex projective or affine space, Galois action of this conjugation on the extension of the scheme over the algebraic closure of the base field
related to Algebraic variety · 2
Real structure → For, Its
related to Vector space · 1
Real structure → Conversely

Important terminology Word statistics

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Important terminology

real vector displaystyle space structure complex antilinear map sigma mathbb involution direct sum conjugation spaces reality linear two field numbers

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Real structureis acomplex conjugation acting on the points of the variety in complex projective or affine space0.90text
Real structureis aGalois action of this conjugation on the extension of the scheme over the algebraic closure of the base field0.90text
Real structurerelated to Algebraic varietyFor0.60section
Real structurerelated to Algebraic varietyIts0.60section
Real structurerelated to SchemeFor0.60section
Real structurerelated to SchemeGalois0.60section
Real structurerelated to SchemeThe0.60section
Real structurerelated to Vector spaceConversely0.60section

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    Min side: 3
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