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Monomial representation

In the mathematical fields of representation theory and group theory, a linear representation ρ {\displaystyle \rho } (rho) of a group G {\displaystyle G} is a monomial representation if there is a finite-index subgroup H {\displaystyle H} and a one-dimensional linear representation σ {\displaystyle \sigma } of H {\displaystyle H} , such that ρ…

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Monomial representation

Nodes16
Edges15
Triples17
Avg. degree1.88
Density0.125
Components1

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Monomial representation

Top relations

related to References · 14
Monomial representation → Dekker, EMS Press, Encyclopedia, Finite Groups, Gregory, ISBN, Karpilovsky, Lock-gray-alt-2, Lock-green, Lock-red-alt-2, Mathematics, Monomial, Projective Representations, Wikisource-logo
related to Definition · 3
Monomial representation → GL, Now Let, To

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Important terminology

representation monomial displaystyle finite sigma induced may group rho one-dimensional mathrm define groups permutation mathematical subgroup image cosets scalars space

Entity relationships Subject–Predicate–Object triples

Extracted RDF-like relationships with confidence and source. The table includes structured facts and lower-confidence contextual relations.
SubjectPredicateObjectConfidenceSrc
Monomial representationrelated to DefinitionTo0.60section
Monomial representationrelated to DefinitionNow Let0.60section
Monomial representationrelated to DefinitionGL0.60section
Monomial representationrelated to ReferencesLock-green0.60section
Monomial representationrelated to ReferencesLock-gray-alt-20.60section
Monomial representationrelated to ReferencesLock-red-alt-20.60section
Monomial representationrelated to ReferencesWikisource-logo0.60section
Monomial representationrelated to ReferencesMonomial0.60section
Monomial representationrelated to ReferencesEncyclopedia0.60section
Monomial representationrelated to ReferencesMathematics0.60section
Monomial representationrelated to ReferencesEMS Press0.60section
Monomial representationrelated to ReferencesKarpilovsky0.60section

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