Holomorphic functions on an algebraic group invariant under a Zariski-dense subgroup
| dc.creator | Winkelmann, Joerg | |
| dc.date | 1994-01-16 | |
| dc.date | 1994-01-18 | |
| dc.date.accessioned | 2026-07-07T08:57:49Z | |
| dc.date.available | 2026-07-07T08:57:49Z | |
| dc.description | Let G be complex linear-algebraic group, H a subgroup, which is dense in G in the Zariski-topology. Assume that G/[G,G] is reductive and furthermore that (1) G is solvable, or (2) the semisimple elements in G'=[G,G] are dense. Then every H-invariant holomorphic function on G is constant. If G=G', furthermore every H-invariant meromorphic or plurisubharmonic function is constant. Finally an example of Margulis is used to show the existence of an algebraic group G with G=G' such that there exists a Zariski-dense discrete subgroup without any semisimple element. | |
| dc.description | Plain TeX, 9 pages. TeX errors corrected | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9401002 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9401002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/147080 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Holomorphic functions on an algebraic group invariant under a Zariski-dense subgroup | |
| dc.type | text |