e/Fundamental representation

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has glosseng: In representation theory of Lie groups and Lie algebras, a fundamental representation is an irreducible finite-dimensional representation of a semisimple Lie group or Lie algebra whose highest weight is a fundamental weight. For example, the defining module of a classical Lie group is a fundamental representation. Any finite-dimensional irreducible representation of a semisimple Lie group or Lie algebra can be constructed from the fundamental representations by a procedure due to Élie Cartan. Thus in a certain sense, the fundamental representations are the elementary building blocks for arbitrary finite-dimensional representations.
lexicalizationeng: fundamental representation
instance ofe/Lie group
Meaning
French
has glossfra: La représentation dun groupe de Lie ou dun algèbre de Lie est appelée représentation fondamentale si elle est irréductible, et que son poids le plus haut est un poids fondamental.
lexicalizationfra: Representation fondamentale
lexicalizationfra: Représentation fondamentale
Russian
has glossrus: Фундаментальное представление — представление полупростой группы Ли или алгебры Ли, старший вес которого является фундаментальным весом.
lexicalizationrus: Фундаментальное представление

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