most citedJucys-Murphy Elements and a Combinatorial Proof of an Identity of S. Kerov

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Jucys-Murphy Elements and a Combinatorial Proof of an Identity of S. Kerov

Jennifer R. Galovich

Consider the elements of the group algebra CS_{n} given by R_{j}=Sigma_{i=1}^{j-1}(ij), for 2<=j<=n. Jucys [3 - 5] and Murphy[7] showed that these elements act diagonally on elemen…