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Algebra representation

In abstract algebra, a representation of an associative algebra is a module for that algebra. Here an associative algebra is a (not necessarily unital) ring. If the algebra is not unital, it may be made so in a standard way (see the adjoint functors page); there is no essential difference between modules for the resulting unital ring, in which the…

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Algebra representation

Nodes40
Edges39
Triples6
Avg. degree1.95
Density0.05
Components1

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Algebra representation

Top relations

related to Weights · 3
Algebra representation → Eigenvalues, The, This
see also · 2
Algebra representation → Hopf, Representation
is a · 1
Algebra representation → vector such that any element of the algebra maps this vector to a multiple of itself

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Important terminology

algebra displaystyle weight representation polynomial representations algebras ring vector linear matrices space associative structure unital map geometry eigenvalue examples see

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SubjectPredicateObjectConfidenceSrc
Algebra representationis avector such that any element of the algebra maps this vector to a multiple of itself0.90text
Algebra representationrelated to WeightsEigenvalues0.60section
Algebra representationrelated to WeightsThe0.60section
Algebra representationrelated to WeightsThis0.60section
Algebra representationsee alsoRepresentation0.60section
Algebra representationsee alsoHopf0.60section

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    Min side: 3
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