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An explicit construction of automorphic representations of the symplectic group with a given quadratic unipotent Arthur parameter

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Abstract

To a large class of unipotent quadratic Arthur parameters for symplectic groups, we attach (explicitly realized in the space of square-integrable automorphic forms) an irreducible automorphic representation using degenerate Eisenstein series.

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Acknowledgments

We would like to thank G. Muić for his encouragement to study this problem, and to M. Tadić and N. Grbac for helpful conversations.

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Authors and Affiliations

  1. Department of Mathematics, University of Zagreb, Bijenička cesta 30, Zagreb, 10000, Croatia

    Marcela Hanzer

Authors
  1. Marcela Hanzer
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Correspondence to Marcela Hanzer.

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Communicated by A. Cap.

This work has been supported in part by Croatian Science Foundation under the project 9364.

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Hanzer, M. An explicit construction of automorphic representations of the symplectic group with a given quadratic unipotent Arthur parameter. Monatsh Math 177, 235–273 (2015). https://doi.org/10.1007/s00605-014-0686-3

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