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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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