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The representations of Hecke algebras of type \(A_ n\). (English) Zbl 0829.20022
In this self-contained article the author presents a simplified derivation of the irreducible representations of the Hecke algebra \(H_q\) of type \(A_n\). Since the symmetric group algebra is a special case of \(H_q\), the construction presented in this paper works for the symmetric group representations simply by taking \(q = 1\).

MSC:
20C30 Representations of finite symmetric groups
20C05 Group rings of finite groups and their modules (group-theoretic aspects)
20G05 Representation theory for linear algebraic groups
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