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Class expansion of some symmetric functions in Jucys-Murphy elements

Published 13 May 2010 in math.RT and math.CO | (1005.2346v2)

Abstract: We present a method to compute the class expansion of a symmetric function in the Jucys-Murphy elements of the symmetric group. We apply this method to one-row Hall-Littlewood symmetric functions, which interpolate between power sums and complete symmetric functions.

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