Young symmetrizer
（ plural ）
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(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 V⊗n obtained from the action of S_n on V⊗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.
Young symmetrizer
The Young symmetrizer in the group algebra produces an idempotent whose image under the homomorphism induced by S_n acting on V{⊗n} by permuting tensor factors corresponds to an irreducible representation of the symmetric group over the complex numbers.
The Young symmetrizer in the group algebra produces an idempotent whose image under the homomorphism induced by S_n acting on V{⊗n} by permuting tensor factors corresponds to an irreducible representation of the symmetric group over the complex numbers.
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