Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Poisson transforms for differential forms   We give a construction of a Poisson transform mapping density valued
differential forms on generalized flag manifolds to differential forms on the
corresponding Riemannian symmetric spaces, which can be described entirely in
terms of finite dimensional representations of reductive Lie groups. Moreover,
we will explicitly generate a family of degree-preserving Poisson transforms
whose restriction to real valued differential forms has coclosed images. In
addition, as a transform on sections of density bundles it can be related to
the classical Poisson transform, proving that we produced a natural
generalization of the classical theory.

9
The categories of this paper are: nlin
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph