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Schur–Weyl duality is a fundamental result in representation theory that describes a deep relationship between two types of algebraic structures: the symmetric groups and the general linear groups. Specifically, it provides a duality between representations of the symmetric group \( S_n \) and representations of the general linear group \( GL(V) \) (where \( V \) is a finite-dimensional vector space) for a fixed \( n \).

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  1. Representation theory of groups
  2. Group theory
  3. Fields of abstract algebra
  4. Fields of mathematics
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