Discrete group actions on Stein domains in complex Lie groups
| dc.creator | Achab, Dehbia | |
| dc.creator | Betten, Frank | |
| dc.creator | Kroetz, Bernhard | |
| dc.date | 2000-04-05 | |
| dc.date | 2002-05-29 | |
| dc.date.accessioned | 2026-07-07T04:34:38Z | |
| dc.date.available | 2026-07-07T04:34:38Z | |
| dc.description | This paper deals with the analytic continuation of holomorphic automorphic forms on a Lie group $G$. We prove that for any discrete subgroup $Γ$ of $G$ there always exists a non-trivial holomorphic automorphic form, i.e., there exists a $Γ$-spherical unitary highest weight representation of $G$. Holomorphic automorphic forms have the property that they analytically extend to holomorphic functions on a complex Ol'shanski\uı semigroup $S\subeq G_\C$. As an application we prove that the bounded holomorphic functions on $Γ\bs S\subseteq Γ\bs G_\C$ separate the points. | |
| dc.description | 26 pages, to appear in Forum Math | |
| dc.identifier | https://arxiv.org/abs/math/0004025 | |
| dc.identifier | http://arxiv.org/abs/math/0004025 | |
| dc.identifier | Forum Math. 16 (1) (2004), 37--68 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58975 | |
| dc.subject | Representation Theory | |
| dc.title | Discrete group actions on Stein domains in complex Lie groups | |
| dc.type | text |