Adjoint representation
In mathematics, the adjoint representation (or adjoint action) of a Lie group G is a way of representing the elements of the group as linear transformations of the group's Lie algebra, considered as a vector space. For example, if G is , the Lie group of real n-by-n invertible matrices, then the adjoint representation is the group homomorphism that sends an invertible n-by-n matrix to an endomorphism of the vector space of all linear transformations of defined by: .
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Adjoint representation
In mathematics, the adjoint representation (or adjoint action) of a Lie group G is a way of representing the elements of the group as linear transformations of the group's Lie algebra, considered as a vector space. For example, if G is , the Lie group of real n-by-n invertible matrices, then the adjoint representation is the group homomorphism that sends an invertible n-by-n matrix to an endomorphism of the vector space of all linear transformations of defined by: .
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Em matemática, a representação ...... torial dada pela conjugação: .
@pt
En mathématiques, il existe de ...... e groupe, la seconde est une .
@fr
In der Mathematik spielen die ...... rie und Mathematischer Physik.
@de
In mathematics, the adjoint re ...... groups over arbitrary fields.
@en
Присоединённое представление г ...... гебре Ли.Обычно обозначается .
@ru
У теорії груп Лі приєднаним пр ...... ним представленням алгебри Лі.
@uk
リー群のリー環上への随伴表現（ずいはんひょうげん、英: adjoint representation）とは、リー群の元をリー環のある種の線型変換として表したものをいう。
@ja
在數學中，一個李群 G 的伴隨表示（adjoint repr ...... 自然表示。這個表示是群 G 在自身上的共軛作用的線性化形式。
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Em matemática, a representação ...... torial dada pela conjugação: .
@pt
En mathématiques, il existe de ...... e groupe, la seconde est une .
@fr
In der Mathematik spielen die ...... rie und Mathematischer Physik.
@de
In mathematics, the adjoint re ...... ansformations of defined by: .
@en
Присоединённое представление г ...... гебре Ли.Обычно обозначается .
@ru
У теорії груп Лі приєднаним пр ...... ним представленням алгебри Лі.
@uk
リー群のリー環上への随伴表現（ずいはんひょうげん、英: adjoint representation）とは、リー群の元をリー環のある種の線型変換として表したものをいう。
@ja
在數學中，一個李群 G 的伴隨表示（adjoint repr ...... 自然表示。這個表示是群 G 在自身上的共軛作用的線性化形式。
@zh
label
Adjoint representation
@en
Adjungierte Darstellung
@de
Representação adjunta (grupo de Lie)
@pt
Représentation adjointe
@fr
Присоединённое представление группы Ли
@ru
Приєднане представлення групи Лі
@uk
伴随表示
@zh
随伴表現
@ja
딸림표현
@ko