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Schur functor

Schur 函子

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Introduction to Representation Theory 封面

《Introduction to Representation Theory》 · 第 180 页 · Chapter 7,Section 7.2「Functors」,Example 8

More generally, if $\pi$ is a representation of $S_n$, we have functors $V \mapsto \operatorname{Hom}_{S_n}(\pi, V^{\otimes n})$. Such functors are called the Schur functors. Thus, the irreducible Schur functors are labeled by Young diagrams.

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