Geodesic
A measure on the Unipotent Variety
Canadian journal of mathematics, Tome 37 (1985) no. 6, pp. 1237-1274

Voir la notice de l'article provenant de la source Cambridge University Press

Suppose that G is a reductive algebraic group defined over Q. There occurs in the trace formula a remarkable distribution on G(A)1 which is supported on the unipotent set. It is defined quite concretely in terms of a certain integral over G(Q)\G(A)1. Despite its explicit description, however, this distribution is not easily expressed locally, in terms of integrals on the groups G(Q V ). For many applications of the trace formula, it will be essential to do this. In the present paper we shall solve the problem up to some undetermined constants.The distribution, which we shall denote by J unip, was defined in [1] and [3] as one of a family {Jo } of distributions. It is the value at T = T 0 of a certain polynomial . We shall recall the precise definition in Section 1. 
Arthur, James. A measure on the Unipotent Variety. Canadian journal of mathematics, Tome 37 (1985) no. 6, pp. 1237-1274. doi: 10.4153/CJM-1985-067-0
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