Holomorphic functions on an algebraic group invariant under a Zariski-dense subgroup

Details Holomorphic functions on an algebraic group invariant under a Zariski-dense subgroup Holomorphic functions on an algebraic group invariant under a Zariski-dense subgroup

1994-01-16

arxiv.org/abs/alg-geom/9401002v2

Mathematics

Algebraic Geometry

Plain TeX, 9 pages. TeX errors corrected

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Holomorphic functions on an algebraic group invariant under a Zariski-dense subgroup does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Holomorphic functions on an algebraic group invariant under a Zariski-dense subgroup, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Holomorphic functions on an algebraic group invariant under a Zariski-dense subgroup will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-677481