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A Gelfand model for wreath products

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Abstract

A Gelafand model for wreath products ℤ r ≀ S n is constructed. The proof relies on a combinatorial interpretation of the characters of the model, extending a classical result of Frobenius and Schur.

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Authors and Affiliations

  1. Department of Mathematics, Bar-Ilan University, Ramat-Gan, 52900, Israel

    Ron M. Adin

  2. Department of Applied Mathematics, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA

    Alexander Postnikov

  3. Department of Mathematics, Bar-Ilan University, Ramat-Gan, 52900, Israel

    Yuval Roichman

Authors
  1. Ron M. Adin
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  2. Alexander Postnikov
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  3. Yuval Roichman
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Correspondence to Ron M. Adin.

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Adin, R.M., Postnikov, A. & Roichman, Y. A Gelfand model for wreath products. Isr. J. Math. 179, 381–402 (2010). https://doi.org/10.1007/s11856-010-0086-x

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  • DOI: https://doi.org/10.1007/s11856-010-0086-x

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