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Sesquilinear form

In mathematics, a sesquilinear form is a generalization of inner products of complex vector spaces, which are the most common sesquilinear forms. A bilinear form is linear in each of its arguments, but a sesquilinear form allows one of the arguments to be "twisted" in a semilinear manner, thus the name; which originates from the Latin numerical prefix…

Products, Complex vector spaces & Over a division ring

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Overview

Informal introduction

Convention

Complex vector spaces

Over a division ring

In projective geometry

Over arbitrary rings

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Map overview Semantic statistics

Sesquilinear form

Nodes75
Edges74
Triples55
Avg. degree1.97
Density0.026667
Components1

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Sesquilinear form

Top relations

related to Informal introduction · 8
Sesquilinear form → By, Cn, Hermitian, Hilbert, In, Sesquilinear, There, This
related to Convention · 7
Sesquilinear form → Conventions, Dirac's, Euclidean, In, It, There, This
related to Example · 7
Sesquilinear form → GF, Hermitian, Let, Mφ, The, This, With
related to Hermitian form · 5
Sesquilinear form → Hermitian, Hilbert, More, SU, The
related to External links · 4
Sesquilinear form → EMS Press, Encyclopedia, Mathematics, Sesquilinear
related to Orthogonality · 4
Sesquilinear form → Given, Reflexivity, Similarly, This
related to Over arbitrary rings · 4
Sesquilinear form → Let, Only, R-module, The
related to Hermitian variations · 3
Sesquilinear form → Hermitian, If, When
related to In projective geometry · 3
Sesquilinear form → Birkhoff, In, Neumann
related to Matrix representation · 3
Sesquilinear form → Az, If, The

Important terminology Word statistics

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Important terminology

form sesquilinear complex displaystyle vector hermitian space linear map ring overline right varphi forms case skew-hermitian also field matrix mathbb

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Sesquilinear formis ageneralization of inner products of complex vector spaces0.90text
Sesquilinear formrelated to ConventionConventions0.60section
Sesquilinear formrelated to ConventionIn0.60section
Sesquilinear formrelated to ConventionThere0.60section
Sesquilinear formrelated to ConventionThis0.60section
Sesquilinear formrelated to ConventionDirac's0.60section
Sesquilinear formrelated to ConventionIt0.60section
Sesquilinear formrelated to ConventionEuclidean0.60section
Sesquilinear formrelated to DefinitionK-module0.60section
Sesquilinear formrelated to DefinitionThe0.60section
Sesquilinear formrelated to ExampleLet0.60section
Sesquilinear formrelated to ExampleGF0.60section

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    Min side: 3
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