Lie algebra representation
In the mathematical field of representation theory, a Lie algebra representation or representation of a Lie algebra is a way of writing a Lie algebra as a set of matrices (or endomorphisms of a vector space) in such a way that the Lie bracket is given by the commutator. In the language of physics, one looks for a vector space together with a collection of operators on satisfying some fixed set of commutation relations, such as the relations satisfied by the angular momentum operators.
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Classification of finite-dimensional representations of semi-simple Lie algebrasClassification of finite-dimensional representations of semisimple Lie algebrasLie algebra actionLie algebra moduleRepesentation of a Lie algebraRepresentation of Lie algebrasRepresentation of a Lie algebraRepresentation theory of Lie algebrasRepresentation theory of complex semisimple Lie algebraRepresentations of Lie algebras
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Lie algebra representation
In the mathematical field of representation theory, a Lie algebra representation or representation of a Lie algebra is a way of writing a Lie algebra as a set of matrices (or endomorphisms of a vector space) in such a way that the Lie bracket is given by the commutator. In the language of physics, one looks for a vector space together with a collection of operators on satisfying some fixed set of commutation relations, such as the relations satisfied by the angular momentum operators.
has abstract
Eine Darstellung einer Lie-Alg ...... Algebren in Beziehung gesetzt.
@de
En matemáticas, si φ: G→H es u ...... e, es una representación del .
@es
En mathématiques, une représen ...... Lie donné par le commutateur.
@fr
In the mathematical field of r ...... s over its enveloping algebra.
@en
Представлением алгебры Ли (точ ...... ыть над одним и тем же полем .
@ru
Представленням алгебри Лі (точ ...... ути над одним і тим же полем .
@uk
数学の一分野である表現論では、リー代数の表現(リーだいすうの ...... 、この普遍包絡代数上の加群の圏と同じであることを言っている。
@ja
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Eine Darstellung einer Lie-Alg ...... Algebren in Beziehung gesetzt.
@de
En matemáticas, si φ: G→H es u ...... e, es una representación del .
@es
En mathématiques, une représen ...... Lie donné par le commutateur.
@fr
In the mathematical field of r ...... he angular momentum operators.
@en
Представлением алгебры Ли (точ ...... ыть над одним и тем же полем .
@ru
Представленням алгебри Лі (точ ...... ути над одним і тим же полем .
@uk
数学の一分野である表現論では、リー代数の表現(リーだいすうの ...... 、この普遍包絡代数上の加群の圏と同じであることを言っている。
@ja
label
Darstellung (Lie-Algebra)
@de
Lie algebra representation
@en
Representación de álgebras de Lie
@es
Représentation d'algèbre de Lie
@fr
Представление алгебры Ли
@ru
Представлення алгебри Лі
@uk
リー代数の表現
@ja
리 대수의 표현
@ko