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A computational proof of the linear Arithmetic Fundamental Lemma of GL$_4$

Number Theory 2020-11-20 v2

Abstract

Let K/FK/F be an unramified quadratic extension of non-Archimedian local fields with residue character not equals to 2. We prove the linear Arithmetic Fundamental Lemma for GL4_4 with the unit element in the spherical Hecke Algebra. In this article, all measures are normalized by its hyperspecial subgroup.

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Cite

@article{arxiv.1907.00090,
  title  = {A computational proof of the linear Arithmetic Fundamental Lemma of GL$_4$},
  author = {Qirui Li},
  journal= {arXiv preprint arXiv:1907.00090},
  year   = {2020}
}

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43pages