Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Isospectrality of Margulis-Smilga spacetimes for irreducible
  representations of real split semisimple Lie groups   In this article we show that, under certain conditions, equality of the
Margulis-Smilga invariant spectra of two Margulis-Smilga spacetimes induce an
automorphism of the ambient affine Lie group. In particular, we show that
equality of the Margulis-Smilga invariant spectra of two Margulis-Smilga
spacetimes, coming from the adjoint representation of a real split simple
algebraic Lie group $\mathsf{G}$ with trivial center and Lie algebra
$\mathfrak{g}$, induce an automorphism of the affine group
$\mathsf{G}\ltimes\mathfrak{g}$.

18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex