A computational proof of the linear Arithmetic Fundamental Lemma of GL4

Abstract

Let K/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 with the unit element in the spherical Hecke Algebra. In this article, all measures are normalized by its hyperspecial subgroup.

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