Generalized Green functions and unipotent classes for finite reductive groups, II

Abstract

This paper is concerned with the problem of the determination of unknown scalars involved in the algorithm of computing the generalized Green functions of reductive groups $G$ over a finite field. In the previous paper, we have treated the case where $G = SL_{n}$. In this paper, we determine the scalars in the case where $G$ is a classical group $Sp_{2n}$ or $SO_{N}$ for arbitrary characteristic.