Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A proof of the multiplicity one conjecture for GL(n) in GL(n+1)   Let F be a non-archimedean local field of characteristic zero. We consider
distributions on GL(n+1,F) which are invariant under the adjoint action of
GL(n,F). We prove that any such distribution is invariant with respect to
transposition. This implies that the restriction to GL(n) of any irreducible
smooth representation of GL(n+1) is multiplicity free.
  Our paper is based on the recent work [RS] of Steve Rallis and Gerard
Schiffmann where they made a remarkable progress on this problem.
  In [RS], they also show that our result implies multiplicity one theorem for
restrictions from the orthogonal group $O(V \oplus F)$ to $O(V)$.

22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th