Young symmetrizer

English

Named after British mathematician Alfred Young.

Young symmetrizer (plural Young symmetrizers)

(mathematics) An element of the group algebra of the symmetric group, constructed in such a way that, for the homomorphism from the group algebra to the endomorphisms of a vector space ${\\displaystyle V^{\\otimes n}}$ obtained from the action of ${\\displaystyle S_{n}}$ on ${\\displaystyle V^{\\otimes n}}$ by permutation of indices, the image of the endomorphism determined by that element corresponds to an irreducible representation of the symmetric group over the complex numbers.

单词	Young symmetrizer
释义	Young symmetrizer English Etymology Named after British mathematician Alfred Young. Noun Young symmetrizer (plural Young symmetrizers) (mathematics) An element of the group algebra of the symmetric group, constructed in such a way that, for the homomorphism from the group algebra to the endomorphisms of a vector space ${\\displaystyle V^{\\otimes n}}$ obtained from the action of ${\\displaystyle S_{n}}$ on ${\\displaystyle V^{\\otimes n}}$ by permutation of indices, the image of the endomorphism determined by that element corresponds to an irreducible representation of the symmetric group over the complex numbers.
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