In mathematics, a Young symmetrizer is an element of the group algebra of the symmetric group, constructed in such a way that the image of the element corresponds to an irreducible representation of the symmetric group over the complex numbers. A similar construction works over any field, and the resulting representations are called Specht modules. The Young symmetrizer is named after British mathematician Alfred Young.
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“We live in an age when to be young and to be indifferent can be no longer synonymous. We must prepare for the coming hour. The claims of the Future are represented by suffering millions; and the Youth of a Nation are the trustees of Posterity.”
—Benjamin Disraeli (1804–1881)