On Springer representations and the Zuckerman functor (Q1382053)

The author resolves some questions raised by \textit{M. Hunziker} and \textit{N. Wallach} [\textit{K. I. Gross} (ed.) et al., Representation theory and harmonic analysis. Contemp. Math. 191, 223-243 (1995; Zbl 0836.22013)] concerning the Zuckerman functor. As a consequence, he gives an explicit connection between \textit{N. Wallach}'s construction of Weyl group representations [J. Am. Math. Soc. 6, 779-816 (1993; Zbl 0804.22004)] and a construction described by \textit{R. Hotta} and \textit{M. Kashiwara} [Invent. Math. 75, 327-358 (1984; Zbl 0538.22013)].