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Algebraic character

In mathematics, an algebraic character is a formal expression attached to a module in representation theory of semisimple Lie algebras that generalizes the character of a finite-dimensional representation and is analogous to the Harish-Chandra character of the representations of semisimple Lie groups.

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Definition

Cartan subalgebraWeight moduleWeight spaces
3 related topics

Generalization

Kac–MoodyGeneralized Kac–Moody
2 related topics

Example

Verma module
1 related topics

Properties

Highest weight module
1 related topics

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Definition

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Properties

Generalization

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Algebraic character

Nodes18
Edges17
Triples12
Avg. degree1.89
Density0.111111
Components1

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Algebraic character

Top relations

related to Definition · 5
Algebraic character → Cartan, Let, Lie, Suppose, Then
related to Properties · 4
Algebraic character → Algebraic, In, On, Thus
related to Example · 2
Algebraic character → The, Verma
is a · 1
Algebraic character → formal expression attached to a module in representation theory of semisimple Lie algebras that generalizes the character of a finite-dimensional representation and is analogous…

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Important terminology

algebraic weight character module displaystyle characters lie defined formula modules formal representations groups isbn product university press representation semisimple algebras

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Algebraic characteris aformal expression attached to a module in representation theory of semisimple Lie algebras that generalizes the character of a finite-dimensional representation and is analogous…0.90text
Algebraic characterrelated to DefinitionLet0.60section
Algebraic characterrelated to DefinitionLie0.60section
Algebraic characterrelated to DefinitionCartan0.60section
Algebraic characterrelated to DefinitionSuppose0.60section
Algebraic characterrelated to DefinitionThen0.60section
Algebraic characterrelated to ExampleThe0.60section
Algebraic characterrelated to ExampleVerma0.60section
Algebraic characterrelated to PropertiesAlgebraic0.60section
Algebraic characterrelated to PropertiesOn0.60section
Algebraic characterrelated to PropertiesThus0.60section
Algebraic characterrelated to PropertiesIn0.60section

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