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- Weight_(representation_theory) abstract "In the mathematical field of representation theory, a weight of an algebra A over a field F is an algebra homomorphism from A to F, or equivalently, a one-dimensional representation of A over F. It is the algebra analogue of a multiplicative character of a group. The importance of the concept, however, stems from its application to representations of Lie algebras and hence also to representations of algebraic and Lie groups. In this context, a weight of a representation is a generalization of the notion of an eigenvalue, and the corresponding eigenspace is called a weight space.".
- Weight_(representation_theory) wikiPageID "277179".
- Weight_(representation_theory) wikiPageRevisionID "606739483".
- Weight_(representation_theory) hasPhotoCollection Weight_(representation_theory).
- Weight_(representation_theory) subject Category:Lie_algebras.
- Weight_(representation_theory) subject Category:Representation_theory_of_Lie_algebras.
- Weight_(representation_theory) subject Category:Representation_theory_of_Lie_groups.
- Weight_(representation_theory) type Abstraction100002137.
- Weight_(representation_theory) type Algebra106012726.
- Weight_(representation_theory) type Cognition100023271.
- Weight_(representation_theory) type Content105809192.
- Weight_(representation_theory) type Discipline105996646.
- Weight_(representation_theory) type KnowledgeDomain105999266.
- Weight_(representation_theory) type LieAlgebras.
- Weight_(representation_theory) type Mathematics106000644.
- Weight_(representation_theory) type PsychologicalFeature100023100.
- Weight_(representation_theory) type PureMathematics106003682.
- Weight_(representation_theory) type Science105999797.
- Weight_(representation_theory) comment "In the mathematical field of representation theory, a weight of an algebra A over a field F is an algebra homomorphism from A to F, or equivalently, a one-dimensional representation of A over F. It is the algebra analogue of a multiplicative character of a group. The importance of the concept, however, stems from its application to representations of Lie algebras and hence also to representations of algebraic and Lie groups.".
- Weight_(representation_theory) label "Weight (representation theory)".
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- Weight_(representation_theory) sameAs Q7979858.
- Weight_(representation_theory) sameAs Q7979858.
- Weight_(representation_theory) sameAs Weight_(representation_theory).
- Weight_(representation_theory) wasDerivedFrom Weight_(representation_theory)?oldid=606739483.
- Weight_(representation_theory) isPrimaryTopicOf Weight_(representation_theory).