Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Poisson transforms adapted to BGG-complexes   We present a new construction for Poisson transforms between vector bundle
valued differential forms on homogeneous parabolic geometries and the
corresponding Riemannian symmetric space, which can be described in terms of
finite dimensional representations of reductive Lie groups. In particular, we
use these operators to relate the BGG-sequences on the domain with twisted
deRham sequences on the target space. Finally, we explicitly design a family of
Poisson transforms between standard tractor valued differential forms for the
real hyperbolic space which are compatible with the BGG-complex.

8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph