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A relative Kuznietsov trace formula on G2

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Abstract:

In this paper, we set up the general formulation to study distinguished residual representations of a reductive group G by the relative trace formula approach. This approach simplifies the argument of [JR], which deals with this type of relative trace formula for a special symmetric pair (GL(2n), Sp(2n)) and also works for non-symmetric, spherical pairs. To illustrate our idea and method, we complete our relative trace formula (both the geometric side identity and the spectral side identity) for the case (G 2, SL(3)).

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Authors and Affiliations

  1. School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA. e-mail: dhjiang@math.umn.edu, , , , , , US

    Dihua Jiang

  2. Department of Mathematics and Computer Sciences, Rutgers University, Newark, NJ 07102, USA, , , , , , US

    Zhengyu Mao

  3. Department of Mathematics, The Ohio State University, Columbus, OH 43210, USA, , , , , , US

    Stephen Rallis

Authors
  1. Dihua Jiang
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  2. Zhengyu Mao
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  3. Stephen Rallis
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Received: 6 February 1999

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Jiang, D., Mao, Z. & Rallis, S. A relative Kuznietsov trace formula on G2. manuscripta math. 99, 411–423 (1999). https://doi.org/10.1007/s002290050182

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  • DOI: https://doi.org/10.1007/s002290050182

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