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Triality

In mathematics, triality is a relationship among three vector spaces, analogous to the duality relation between dual vector spaces. Most commonly, it describes those special features of the Dynkin diagram D4 and the associated Lie group Spin(8), the double cover of 8-dimensional rotation group SO(8), arising because the group has an outer automorphism of…

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General formulation

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Map overview Semantic statistics

Triality

Nodes36
Edges35
Triples27
Avg. degree1.94
Density0.055556
Components1

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Triality

Top relations

related to References · 20
Triality → Cambridge University Press, Chicago Lectures, Chicago Press, Exceptional Lie Groups, F4, ISBN, John Frank Adams, Lectures, Lock-gray-alt-2, Lock-green, Lock-red-alt-2, Mamora Mimura, Martin Roček, Mathematics, Spin, Stephen Hawking, Superspace, University, Wikisource-logo, Zafer Mahmud
related to External links · 5
Triality → David Richter, John BaezTriality, Spinors, Trialities, Zometool
is a · 1
Triality → relationship among three vector spaces
see also · 1
Triality → Triple

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Important terminology

spin three diagram group vector duality groups one dynkin two d4 8-dimensional automorphism automorphisms representations representation also form spaces lie

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Trialityis arelationship among three vector spaces0.90text
Trialityrelated to External linksSpinors0.60section
Trialityrelated to External linksTrialities0.60section
Trialityrelated to External linksJohn BaezTriality0.60section
Trialityrelated to External linksZometool0.60section
Trialityrelated to External linksDavid Richter0.60section
Trialityrelated to ReferencesJohn Frank Adams0.60section
Trialityrelated to ReferencesSpin0.60section
Trialityrelated to ReferencesF40.60section
Trialityrelated to ReferencesSuperspace0.60section
Trialityrelated to ReferencesStephen Hawking0.60section
Trialityrelated to ReferencesMartin Roček0.60section

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