Haar Measure and the Artin Conductor

Let be a connected reductive group, defined over a local, non-archimedean field . The group is locally compact and unimodular. In On the motive of a reductive group, Invent. Math. 130 (1997), by B. H. Gross, a Haar measure was defined on , using the theory of Bruhat and Tits. In this note, we give another construction of the measure , using the Artin conductor of the motive of over . The equivalence of the two constructions is deduced from a result of G. Prasad.