Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conical Distributions on the Space of Flat Horocycles   Let $G_0=K\ltimes\mathfrak p$ be the Cartan motion group associated with a
noncompact semisimple Riemannian symmetric pair $(G, K)$. Let $\frak a$ be a
maximal abelian subspace of $\mathfrak p$ and let $\p=\a+\q$ be the
corresponding orthogonal decomposition. A flat horocycle in $\p$ is a
$G_0$-translate of $\q$. A conical distribution on the space $\Xi_0$ of flat
horocycles is an eigendistribution of the algebra $\mathbb D(\Xi_0)$ of
$G_0$-invariant differential operators on $\Xi_0$ which is invariant under the
left action of the isotropy subgroup of $G_0$ fixing $\q$. We prove that the
space of conical distributions belonging to each generic eigenspace of $\mathbb
D(\Xi_0)$ is one-dimensional, and we classify the set of all conical
distributions on $\Xi_0$ when $G/K$ has rank one.

7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex