Equivariant vector bundles on Drinfeld's upper half space

Details Equivariant vector bundles on Drinfeld's upper half space Equivariant vector bundles on Drinfeld's upper half space

2006-06-15

arxiv.org/abs/math/0606355v3

Mathematics

Number Theory

72 pages, error in Prop. 1.4.2 has been fixed, changed slightly the content

Scientific paper

Let X be Drinfeld's upper half space of dimension d over a finite extension K of Q_p. We construct for every homogeneous vector bundle F on the projective space P^d a GL_{d+1}(K)-equivariant filtration by closed K-Frechet spaces on F(X). This gives rise by duality to a filtration by locally analytic GL_{d+1}(K)-representations on the strong dual. The graded pieces of this filtration are locally analytic induced representations from locally algebraic ones with respect to maximal parabolic subgroups. This paper generalizes the cases of the canonical bundle due to Schneider and Teitelbaum and that of the structure sheaf by Pohlkamp.

Affiliated with

Also associated with

No associations

Rating

Equivariant vector bundles on Drinfeld's upper half space 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 Equivariant vector bundles on Drinfeld's upper half space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Equivariant vector bundles on Drinfeld's upper half space will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-606860