Speakur

Word Pronunciation & Dictionary

young symmetrizer

Word Rarity Very rare

Frequency: Zipf frequency 0.00 in modern English

Syllables
young sym-metriz-er
IPA
36
Scrabble Score
16
Letters
3
Syllables
12
Unique Chars

Meaning

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.

Etymology

Named after British mathematician Alfred Young.

Inflected Forms

Young symmetrizers (plural)

Questions

What does young symmetrizer mean?
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.
Where does young symmetrizer come from?
Named after British mathematician Alfred Young.

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