an:00067417
Zbl 0760.22019
Mili??i??, Dragan
Intertwining functors and irreducibility of standard Harish-Chandra sheaves
EN
Harmonic analysis on reductive groups, Proc. Conf., Brunswick/ME (USA) 1989, Prog. Math. 101, 209-222 (1991).
1991
a
22E46 22E47
sheaf of differential operators; category of coherent \({\mathcal D}\)-modules; irreducibility; Harish-Chandra sheaves
[For the entire collection see Zbl 0742.00061.]
The author sketches a proof of an irreducibility criterion for standard Harish-Chandra sheaves, similar to the one in [\textit{B. Speh} and \textit{D. A. Vogan} jun., Acta Math. 145, 227-299 (1980; Zbl 0457.22011)]. This result is part of a joint article to be published as a sequel to [\textit{H. Hecht}, \textit{D. Mili??i??}, \textit{W. Schmidt}, and \textit{J. A. Wolf}, Invent. Math. 90, 297-332 (1987; Zbl 0699.22022)], by the same authors. The main idea of the proof consists of a reduction to the case of \(SL(2,\mathbb{C})\).
H.de Vries (Nijmegen)
Zbl 0742.00061; Zbl 0457.22011; Zbl 0699.22022