Class expansion of some symmetric functions in Jucys-Murphy elements

Details Class expansion of some symmetric functions in Jucys-Murphy elements Class expansion of some symmetric functions in Jucys-Murphy elements

2010-05-13

arxiv.org/abs/1005.2346v1

Mathematics

Representation Theory

51 pages, LaTeX.

Scientific paper

We present a method to compute the class expansion of a symmetric function
specialized at 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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