Zonal polynomials for wreath products

  title={Zonal polynomials for wreath products},
  author={Hiroshi Mizukawa},
The pair of groups, symmetric group S2n and hyperoctohedral group Hn , form a Gelfand pair. The characteristic map is a mapping from the graded algebra generated by the zonal spherical functions of (S2n, Hn) into the ring of symmetric functions. The images of the zonal spherical functions under this map are called the zonal polynomials. A wreath product generalization of the Gelfand pair (S2n, Hn) is discussed in this paper. Then a multi-partition version of the theory is constructed. The multi… CONTINUE READING

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