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Young symmetrizer

Young symmetrizer noun: 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.

Noun

Young symmetrizer (plural Young symmetrizers)

  1. 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.

Forms of Young symmetrizer

pluralYoung symmetrizers

Origin of Young symmetrizer

Named after British mathematician Alfred Young.

Questions about Young symmetrizer

What does Young symmetrizer mean?
Young symmetrizer means 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.
What part of speech is Young symmetrizer?
Young symmetrizer is a noun.
What is the plural of Young symmetrizer?
The plural of Young symmetrizer is Young symmetrizers.

Words near Young symmetrizer in the dictionary

  1. young offenders
  2. young pioneer
  3. young pioneers
  4. Young Poland
  5. young stunna
  6. Young symmetrizer
  7. Young symmetrizers
  8. Young tableau
  9. Young tableaus
  10. Young tableaux
  11. young Turk

Source and license

Adapted from Wiktionary: Young symmetrizer (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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