= Schur–Weyl duality
{wiki=Schur–Weyl_duality}
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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