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In mathematics, the structure constants or structure coefficients of an algebra over a field are used to explicitly specify the product of two basis vectors in the algebra as a linear combination. Given the structure constants, the resulting product is bilinear and can be uniquely extended to all vectors in the vector space, thus uniquely determining the product for the algebra.

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  • Strukturkonstante (de)
  • Costanti di struttura (it)
  • 構造定数 (数学) (ja)
  • Structuurconstante (nl)
  • Structure constants (en)
  • Constantes de estrutura (pt)
  • Структурные константы (ru)
  • 结构常数 (zh)
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  • Strukturkonstanten enthalten in der Mathematik die gesamten Informationen einer (endlichdimensionalen) Lie-Algebra und somit insbesondere alle lokalen Informationen jeder ihr zugeordneten Lie-Gruppe. (de)
  • 分配多元環の構造定数(こうぞうていすう、英: structure constant, structure coeficient)とは、与えられた自由加群に対して、それを分配多元環とするための積構造を決定する定数のことである。 (ja)
  • Na teoria de grupos, um domínio da matemática, as constantes de estrutura de um grupo de Lie determinam as relações de comutação dos gerados da respectiva álgebra de Lie. A relação de comutação satisfeita pelos geradores é da forma sendo as constantes de estrutura. O conhecimento das constantes de estrutura permite a reconstrução de todos os elementos do grupo de Lie conexo. Se as constantes de estruturas são sempre nulas, o grupo é dito abeliano. (pt)
  • 群论中的结构常数是定义在李群上的一组常数。它们决定了该李群的李代数的元素之间的李括号(对易关系)。反过来,给定一组满足某些性质的常数,就一定存在以它们为结构常数的。 (zh)
  • In mathematics, the structure constants or structure coefficients of an algebra over a field are used to explicitly specify the product of two basis vectors in the algebra as a linear combination. Given the structure constants, the resulting product is bilinear and can be uniquely extended to all vectors in the vector space, thus uniquely determining the product for the algebra. (en)
  • In matematica, le costanti di struttura (o coefficienti di struttura) di un'algebra su campo sono usate per specificare esplicitamente il prodotto di due vettori di base nell'algebra come combinazione lineare. Date le costanti di struttura, il risultante prodotto è bilineare e può essere univocamente esteso a tutti i vettori nello spazio vettoriale, determinando così in modo univoco il prodotto per l'algebra. (it)
  • В математике структурные константы или структурные коэффициенты алгебры над полем используются для явного указания произведения двух базисных векторов в алгебре в качестве линейной комбинации. Учитывая структурные константы, результирующее произведение является билинейным и может быть однозначно расширено на все векторы в векторном пространстве, таким образом, однозначно определяя произведение для алгебры. (ru)
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